Airframes & Aircraft Systems #1 - Aircraft Structures - Loads Applied to the Airframe

Aero & Air
10 May 202017:44

Summary

TLDRThis lesson in the airframe structures series explores the various loads on aircraft structures, including tensile, compressive, and shear loads, and their effects on materials. It delves into the significance of stress, strain, and Young's modulus of elasticity in aircraft design. The concept of design limit and ultimate loads, along with safety factors, is discussed to ensure aircraft safety. The video also covers failsafe and damage-tolerant structures, explaining how they manage loads and prevent catastrophic failures. Additionally, it touches on the importance of aircraft's safe life and maintenance to mitigate fatigue and corrosion.

Takeaways

  • ✈️ Aircraft structures experience various loads like tensile, compressive, and shear, which are critical in design and construction.
  • 🔍 Tensile loads stretch structural members, while compressive loads shorten them; these are resisted by ties and struts respectively.
  • 🔧 Riveted joints and adhesive bonding processes are used to resist shear forces, important in aircraft construction.
  • 🔄 Bending, torsion, and buckling involve a combination of tensile, compressive, and shear loads, affecting the integrity of the structure.
  • 📏 Stress is the internal force resisting an external load, and strain measures the deformation caused by this stress.
  • 📐 Young's modulus of elasticity describes the relationship between stress and strain within the elastic limit of materials.
  • 🚀 The design limit load for aircraft is based on the load factor, and structures are built to withstand design ultimate loads with a safety factor.
  • 🛠️ Aircraft structures are designed to be failsafe or damage tolerant, with multiple load paths or damage-tolerant designs to ensure safety.
  • ⏳ The safe life of aircraft components is monitored through cycles, such as flying hours or pressurization cycles, to prevent catastrophic failure.
  • 📍 Aircraft components are identified by reference lines like fuselage station numbers, wing station numbers, and water lines, ensuring precise maintenance and repairs.

Q & A

  • What are the various loads applied to aircraft structures?

    -Aircraft structures are subjected to tensile, compressive, and shear loads. Tensile loads stretch structural members, compressive loads shorten them, and shear forces slide one face of the material over another.

  • What is the function of stringers in modern aircraft fuselages?

    -Stringers in modern aircraft fuselages are designed to resist tensile loads, particularly those produced by pressurization.

  • How do landing gear struts contribute to an aircraft's structural integrity?

    -Landing gear struts, such as the oleo pneumatic strut, resist compressive loads during landing, ensuring the aircraft's structural integrity under impact forces.

  • What is the difference between a tensile stress and a compressive stress?

    -Tensile stress is the internal force that resists a force that tends to stretch a structural member, while compressive stress resists a force that tends to shorten a structural member.

  • How is strain measured in aircraft structures?

    -Strain is measured as the ratio of the change in a material's length to its original length, indicating the deformation of a loaded structure.

  • What is Young's Modulus of Elasticity and how is it discovered?

    -Young's Modulus of Elasticity is a constant that describes the relationship between stress and strain for an elastic material within its elastic limit. It was discovered by the 18th-century English physicist Thomas Young.

  • What is the significance of the design limit load in aircraft design?

    -The design limit load is the maximum load that a designer expects an airframe or component to experience in service, defined as a load factor, which is the ratio of the lift of an aircraft to its weight.

  • How does the safety factor relate to the design ultimate load?

    -The design ultimate load is the design limit load multiplied by a safety factor, which is a minimum of 1.5 as specified in design requirements, ensuring the structure can withstand this load without collapse.

  • What are fail-safe and damage-tolerant structures in aircraft design?

    -Fail-safe structures incorporate component redundancy and multiple load paths, allowing loads to be shared by adjacent members if one part fails. Damage-tolerant structures are designed to withstand a certain amount of damage before failure occurs, spreading the loading over a larger area.

  • How do pressurized aircraft fuselages handle stress from pressurization?

    -Pressurized aircraft fuselages handle stress from pressurization through axial (longitudinal) and hoop (radial) stresses. Hoop stresses, which tend to expand the fuselage cross-section, are of greater significance than axial stresses.

  • What is the purpose of using reference lines in aircraft design for maintenance?

    -Reference lines are used in aircraft design to locate components for maintenance and repairs. They identify positions fore-and-aft, left and right, and from top to bottom, using station numbers and datum lines.

Outlines

00:00

🛫 Introduction to Aircraft Structures and Loads

This paragraph introduces the topic of airframe structures, focusing on the various loads that aircraft structures must withstand. It discusses the design and construction of critical components like the fuselage, wings, and tail unit, and the materials used in their construction. The effects of corrosion and fatigue on these materials are also examined. The paragraph further delves into the impact of a hard landing on the airframe and the significance of failure statistics in aircraft design. It explains different types of loads such as tensile, compressive, and shear loads, and how they affect aircraft structures. The concept of stress and strain is introduced, along with Young's modulus of elasticity, which describes the relationship between stress and strain within an elastic material's limit.

05:02

🔍 Deep Dive into Aircraft Load Management

The second paragraph expands on the concept of loads on aircraft, discussing how most loads are a combination of tensile, compressive, and shear forces. It explains the effects of bending, torsion, and buckling on aircraft structures. The paragraph also covers the definition and measurement of stress and strain, emphasizing their importance in aircraft design. It introduces the concept of Young's modulus of elasticity, which is a constant relationship between stress and strain for elastic materials. The discussion then moves to the design limit load, which is the maximum load an aircraft or component is expected to experience in service. The design ultimate load, which is a safety factor multiple of the design limit load, is also explained. The paragraph concludes with a discussion on the design philosophy of fail-safe and damage-tolerant structures, which are crucial for aircraft safety.

10:03

🛠️ Aircraft Construction Techniques and Maintenance

Paragraph three delves into the construction techniques of aircraft, particularly the use of stressed skin construction where each part of the airframe contributes to load distribution. It contrasts this with fail-safe structures that rely on component redundancy and multiple load paths. The paragraph also touches on the importance of maintenance programs to detect failures before they become critical. It discusses the concept of damage-tolerant structures that can withstand a certain amount of damage without catastrophic failure. The paragraph further explains the fatigue process, where materials fail at a lower load under repeated stress cycles compared to a steady load. It introduces SN curves, which graphically represent material performance under high cycle fatigue conditions. The paragraph concludes with a discussion on the methods used to locate components on an aircraft for maintenance and repair purposes, including the use of reference lines and station numbers.

15:03

🚁 Understanding Fuselage Design and Stresses

The final paragraph focuses on the fuselage, which is the main body of the aircraft. It details the roles of the fuselage, including carrying passengers, cargo, and crew, as well as housing controls and equipment. The paragraph explains how modern aircraft fuselages are pressurized and must withstand axial and hoop stresses caused by pressurization. It describes the significance of hoop stresses, which are greater than axial stresses, and the differential pressures that can be as high as 65.5 kN/m². The lesson concludes with a summary of key learnings, including the understanding of tensile and compressive loads, the meaning of stress and strain, Young's modulus of elasticity, the relationship between design limit load and design ultimate load, and the safety factor. It also highlights the importance of failsafe and damage-tolerant structures in aircraft design.

Mindmap

Keywords

💡Tensile Load

A tensile load is a force that tends to stretch or elongate a structural member. In the context of the video, ties are components designed to resist tensile loads. An example given is the stringers in modern aircraft that take the tensile loads produced in the fuselage structure by pressurization. Tensile loads are crucial in aircraft design as they affect the structural integrity, especially in areas that experience stretching due to various forces like pressurization or aerodynamic loads.

💡Compressive Load

Compressive loads are forces that tend to shorten or compress structural members. The video mentions that members under compression are known as struts, with the example of the oleo pneumatic strut in aircraft landing gear that takes compressive loads upon landing. Compressive loads are significant in aircraft design as they influence how structures like landing gear are engineered to withstand the forces experienced during takeoff and landing.

💡Shear Force

Shear force is a force that causes one layer of a material to slide over another. Riveted joints in aircraft are designed to resist shear forces, as depicted in the video where rivets fasten the fuselage skin to the frame. Understanding shear forces is vital for aircraft design as it ensures the joints and connections within the airframe can withstand the sliding forces that can lead to structural failure.

💡Bending

Bending refers to the deformation of a structure when subjected to loads that cause it to curve. The video explains that bending involves tension, compression, and shear forces. Bending is a critical concept in aircraft design as it affects the structural response of wings and fuselage to aerodynamic and other loads, which must be carefully managed to prevent failure.

💡Torsion

Torsion is the twisting of a structure due to applied forces. The video mentions that torsion or twisting forces produce tension at the outer edge, compression in the center, and shear forces across the structure. Torsional loads are important in aircraft design as they can cause significant stress, particularly in parts like wings and tail sections that are subject to aerodynamic forces.

💡Buckling

Buckling is the deformation or failure of a structure subjected to compressive loads, often occurring in thin sheet materials. The video explains that buckling can occur in ties when subjected to compressive forces. Buckling is a key consideration in aircraft design, especially in the context of lightweight materials that must maintain structural integrity under high compressive loads.

💡Stress

Stress is defined in the video as the internal force within a structural member that resists an externally applied force. It is measured in Newtons per square millimeter or mega Newtons per square meter. Stress is a fundamental concept in aircraft design as it helps engineers determine the strength required in various components to ensure they can withstand operational loads without failure.

💡Strain

Strain is the measure of deformation of a material in response to an applied force, defined as the ratio of the change in a material's length to its original length. The video provides an example of a material that increases in length from 2 to 2.5 meters under load, resulting in a strain of 0.25. Strain is important in aircraft design as it helps engineers understand how materials will deform under load, which is crucial for predicting and preventing structural failure.

💡Young's Modulus of Elasticity

Young's Modulus of Elasticity is a constant that describes the relationship between stress and strain for an elastic material within its elastic limit. The video explains that this constant is used to predict how materials will behave under load. Young's Modulus is a key parameter in aircraft design as it informs material selection and structural analysis, ensuring that components can return to their original dimensions after loading.

💡Design Limit Load

The design limit load is the maximum load that a designer expects an airframe or component to experience in service. The video specifies this load as a load factor, which is the ratio of the lift of an aircraft to its weight, expressed in multiples of G. Understanding design limit loads is essential for aircraft design as it sets the standard for the strength and durability that aircraft components must possess to ensure safety.

💡Fail-Safe and Damage Tolerant Structures

Fail-safe structures are designed with redundancy, allowing loads to be shared among multiple members so that if one part fails, the load is carried by adjacent members until the next inspection. Damage tolerant structures, on the other hand, are designed to withstand a certain amount of damage without catastrophic failure. The video explains these concepts as part of aircraft design philosophy, aiming to ensure safety and longevity of the airframe by accounting for potential failures and damages.

Highlights

Various loads applied to aircraft structures are defined, including those during ground operations and flight.

Design and construction of the fuselage, wings, and tail unit are examined with a focus on materials and their resistance to corrosion and fatigue.

The effects of a hard landing on the airframe are discussed, highlighting the importance of structural integrity.

Failure statistics are reviewed, emphasizing their critical role in safe aircraft design.

Tensile loads and their resistance by ties, such as stringers in the fuselage, are explained.

Compressive loads and their resistance by struts, exemplified by the aircraft landing gear, are described.

Shear forces and their impact on riveted joints, with a shift towards adhesive bonding in modern aircraft, are discussed.

Bending, torsion, and buckling are introduced as complex loading conditions affecting aircraft structures.

Stress is defined as the internal force resisting external forces, with examples of tensile and compressive stresses.

Strain is introduced as a measure of deformation, with a clear example of its calculation.

Young's modulus of elasticity is explained as the constant relationship between stress and strain within an elastic material's limit.

Design limit load is defined in relation to load factors and its significance in aircraft safety.

The design ultimate load is described as a safety factor multiple of the design limit load.

Fail-safe and damage-tolerant structures are compared in terms of their design philosophies and practical applications.

The importance of maintenance programs in detecting failures before they progress in fail-safe structures is emphasized.

Damage-tolerant structures are explained as a method to spread loads and tolerate damage without extra structural members.

Fatigue is introduced as a failure mechanism due to continual loading reversals, with an explanation of SN curves.

The significance of reference lines and datum lines in locating components on aircraft for maintenance is discussed.

The fuselage's role as the main structure of the aircraft, carrying payload and transferring loads, is highlighted.

Pressurized fuselages and their need to withstand axial and hoop stresses are explained.

Transcripts

play00:00

in the airframe structures series of

play00:02

lessons we will define the various loads

play00:04

applied to aircraft structures looking

play00:08

at the design and construction of the

play00:09

fuselage wings and tail unit

play00:15

we will examine the materials used in

play00:18

construction and the effects of

play00:20

corrosion and fatigue on these materials

play00:25

we will discuss the effects of a hard

play00:27

landing on the airframe and we will

play00:29

review failure statistics and their

play00:31

importance in safe aircraft design

play00:38

in this first lesson we will discuss the

play00:42

various loads applied to aircraft

play00:43

structures both on the ground and in

play00:47

flight

play00:49

we'll examine the effect of fatigue on

play00:51

structures and discuss the methods used

play00:54

to mitigate these effects

play01:04

a tensile load is one which tends to

play01:06

stretch a structural member

play01:09

the member is then said to be under

play01:11

tension

play01:13

components designed to resist tensile

play01:16

loads are known as ties good examples of

play01:20

ties are the stringers which in modern

play01:24

aircraft take the tensile loads produced

play01:26

in the fuselage structure by

play01:28

pressurization

play01:31

compressive loads are the opposite of

play01:33

tensile loads and tend to shorten

play01:35

structural members

play01:38

members subject to compressive loads are

play01:40

said to be under compression

play01:44

components designed to resist

play01:46

compressive loads are known as struts

play01:52

you will find numerous examples of

play01:54

struts in an aircraft landing gear the

play01:57

primary one being the olio pneumatic

play01:59

strut which takes the compressive loads

play02:02

on landing this will be fully explained

play02:05

in the landing gear lesson shear is a

play02:09

force which tends to slide one face of

play02:11

the material over an adjacent face

play02:15

riveted joints are designed to resist

play02:18

shear forces

play02:22

rivets are being used in this picture to

play02:25

fasten the fuselage skin to the frame in

play02:28

modern aircraft they are being replaced

play02:30

by adhesive bonding processes

play02:36

to review tensile compressive or shear

play02:38

loads click one of the three buttons

play02:49

most loads to which aircraft components

play02:51

are subjected are a combination of two

play02:54

or all three of these basic loads

play03:00

bending of the structure involves the

play03:02

three basic loadings they are tension as

play03:06

the outer edges stretch compression as

play03:09

the inner edges squeeze together and

play03:11

shear across the structure as the forces

play03:14

are try to split it

play03:19

torsion or twisting forces produce

play03:22

tension at their outer edge compression

play03:25

in the center and shear forces across

play03:28

the structure

play03:31

buckling occurs two thin sheet materials

play03:34

when they are subjected to end loads and

play03:36

two ties if subjected to compressive

play03:39

forces

play03:42

to review bending torsion or buckling

play03:45

click one of three buttons

play03:52

stress is the internal force inside a

play03:56

structural member which resists an

play03:58

externally applied force

play04:02

and therefore a tensile load or force

play04:06

will set up a tensile stress

play04:10

and a compressive load compressive

play04:13

stress

play04:16

stress is defined as the force per unit

play04:18

area and is measured in Newton's per

play04:21

square millimeter or mega Newton's per

play04:24

square meter

play04:33

when an external force of sufficient

play04:36

magnitude acts on a structure the

play04:39

structural dimensions change this change

play04:43

is known as strain

play04:46

strain is measured as a ratio of the

play04:49

change in a materials length to its

play04:51

original length and is a measure of the

play04:54

deformation of any loaded structure

play04:59

our extreme example shown here the

play05:02

original length of the material is 2

play05:04

meters

play05:08

load is applied its length increases to

play05:11

2.5 meters this gives it an increase in

play05:15

length of 0.5 meters

play05:20

therefore the strain being felt by this

play05:23

material is 0.5 divided by 2 which is

play05:28

0.25

play05:31

the 18th century English physicist

play05:33

Thomas Young discovered that the

play05:36

relationship between stress and strain

play05:38

for an elastic material within the

play05:41

elastic limit of the material is

play05:43

generally a constant

play05:46

this constant is therefore known as

play05:48

young's modulus of elasticity

play05:57

aircraft components are subjected to

play05:59

some or all of these stresses and they

play06:03

will tends to elongate compress bend

play06:07

shear and twist the component

play06:13

however provided the deformation is

play06:15

within the elastic limit of the material

play06:18

the component will return to its

play06:20

original dimension once the stress has

play06:23

been removed

play06:25

if any load takes the structure beyond

play06:29

its elastic limit then the deformation

play06:32

will be permanent

play06:39

the maximum load that a designer would

play06:41

expect an airframe or component to

play06:44

experience in service is termed the

play06:47

design limit load

play06:51

this load is defined as a load factor

play06:55

load factor is the ratio of the lift of

play06:58

an aircraft to the weight of the

play07:00

aircraft

play07:02

the load factor is expressed in

play07:05

multiples of G in straight and level

play07:08

flight lift is equal to weight so the

play07:12

ratio of lift to weight is 1 and the

play07:15

load factor is 1 G

play07:20

the design limit load is 2.5 chief of

play07:24

public transport aeroplanes

play07:26

the design limit load is 3.4 23.8 G for

play07:31

utility aircraft

play07:35

and 6g for aerobatic aircraft

play07:41

the design ultimate load is the design

play07:44

limit load multiplied by a safety factor

play07:47

the minimum safety factor specified in

play07:51

design requirements is 1.5

play07:54

the structure must withstand its design

play07:58

ultimate load without collapse

play08:01

the safety factor is the ratio of the

play08:04

design ultimate load to the design limit

play08:07

load

play08:14

the aircraft manufacturer will attempt

play08:17

to design an aircraft to take into

play08:19

account all the loads that it may

play08:21

experience in flight

play08:24

our various guidelines formula and

play08:26

experience to help them in the design of

play08:29

good failsafe and damage tolerant

play08:32

structures

play08:35

the designer will take into account the

play08:37

anticipated role of the aircraft so for

play08:40

instance aircraft designed for long-haul

play08:42

operations should not be used for short

play08:45

haul as the extra takeoffs and landings

play08:48

will not have been accounted for in the

play08:50

airframes anticipated fatigue life

play08:52

calculations

play08:56

the safe life of an aircraft structure

play08:58

is defined as the minimum life during

play09:01

which it is known that no catastrophic

play09:04

failure will occur

play09:07

all critical components have a safe life

play09:10

which may be measured in flying hours

play09:13

landings pressurization cycles or even

play09:17

on a calendar basis

play09:20

after the permitted safe life count has

play09:22

been reached the relevant item is

play09:25

replaced or overhauled

play09:29

during the operational life of the

play09:31

aircraft to minimize the effects of

play09:33

mental fatigue aircraft designers apply

play09:36

the principles of failsafe or damage

play09:39

tolerant construction

play09:43

a fail-safe structure is based on the

play09:45

principle of component redundancy it has

play09:48

multiple load paths in parallel which

play09:51

means that the loads are shared by

play09:53

adjacent members

play09:57

therefore if one part fails the load

play10:00

will be carried by the adjacent member

play10:02

for a limited period

play10:05

this must be until at least the next

play10:07

periodic inspection

play10:10

the disadvantage of dueling the load

play10:13

paths is that it is very expensive in

play10:16

terms of weight as each of the members

play10:19

has to be strong enough to do the work

play10:21

for both

play10:24

it is now only normally used for wing

play10:27

and stabilizer attachment points

play10:31

the bracing struts between the wings and

play10:34

the fuselage of the shorts sky van for

play10:37

instance are each made up of three

play10:39

members

play10:43

this design philosophy must be

play10:45

accompanied by a maintenance program to

play10:48

ensure that failures are detected before

play10:50

they progress too far

play10:54

to gain access to vulnerable areas a

play10:56

certain amount of dismantling is usually

play10:59

required although non-destructive

play11:01

testing may be used in less critical

play11:03

areas

play11:09

modern concepts of aircraft design

play11:11

employ the stressed skin style of

play11:14

construction where each piece of the

play11:17

airframe including the stress skin plays

play11:20

its part in spreading loads throughout

play11:22

the entire airframe and is tolerant to a

play11:24

certain amount of damage

play11:28

these damage tolerant structures

play11:30

eliminate the extra structural members

play11:33

needed in a fail-safe design by

play11:35

spreading the loading of a particular

play11:37

structure over a larger area

play11:42

damage tolerant structures are designed

play11:44

to withstand a certain amount of damage

play11:47

which again should be detected during

play11:50

the normal inspection cycle before a

play11:53

failure occurs

play11:59

a structure which is subject to

play12:01

continual reversals of loading such as

play12:03

the landing gear or the fuselage of a

play12:06

pressurized aircraft

play12:10

will fail at a load of less than would

play12:13

be the case for a steadily applied load

play12:15

this is known as fatigue

play12:19

the failure load level will depend on

play12:22

the number of reversals experienced

play12:27

in high cycle fatigue situations a

play12:30

material performance can be graphically

play12:33

characterized by an SN curve also known

play12:38

as a volar curve

play12:42

this is a graph of the magnitude of the

play12:45

cycle stress s against a logarithmic

play12:49

scale or cycles to failure

play12:51

n

play12:54

it can be seen that after 100 cycles at

play12:57

80% of the ultimate stress the specimen

play13:01

will fail

play13:05

but if the stress is reduced to 30% of

play13:08

the ultimate

play13:09

the component will fail after 10,000

play13:12

cycles

play13:19

a method of locating components on the

play13:24

aircraft must be established in order

play13:27

that maintenance and repairs can be

play13:29

carried out

play13:31

this is achieved by using reference

play13:33

lines to identify positions fore-and-aft

play13:36

left and right and from top to bottom

play13:42

fuselage station numbers are determined

play13:44

by reference to a zero datum line which

play13:47

is at or near the nose of the aircraft

play13:51

on some aircraft such as the one shown

play13:54

here it is Ford of the nose station

play13:58

numbers are identified in inches or

play14:00

millimeters forward or aft of the zero

play14:04

datum

play14:06

stations forward of the datum are

play14:08

identified with a minus sign and aft

play14:11

with a plus sign or no sign at all

play14:15

in this installation they are all after

play14:18

the datum so no sign is used

play14:23

wing station numbers are measured in

play14:25

inches left or right of the aircraft

play14:28

centerline

play14:31

vertical position is identified from the

play14:33

horizontal datum

play14:35

these positions are known as water lines

play14:38

or buttock lines and are measured in

play14:40

inches from the datum

play14:43

plus is used for locations above and

play14:47

minus for locations below the datum

play14:52

this example the datum is at the bottom

play14:54

of the extended landing gear

play15:03

the fuselage is the main structure of

play15:06

the aircraft it carries the aircraft

play15:09

payload be it passengers or Freight as

play15:12

well as the crew in safe comfortable

play15:15

conditions

play15:18

it also provides the crew with an

play15:20

effective position for operating the

play15:22

aircraft and space for controls

play15:24

accessories and other equipment

play15:28

the fuselage transfers loads true and

play15:32

from the wings tail plane fin landing

play15:36

gear and in some configurations the

play15:39

engines

play15:41

modern aircraft fuselages are

play15:44

pressurized and these pressurized

play15:46

aircraft structures must also be capable

play15:49

of withstanding axial and hoop stresses

play15:52

imposed by the pressurization forces

play15:57

axial or longitudinal stresses are set

play16:01

up in the fuselage of aircraft when

play16:02

pressurized and tend to elongate the

play16:05

fuselage between the front and rear

play16:08

pressure bulkhead

play16:11

hoop or radial stresses also caused by

play16:14

pressurizing the fuselage tend to expand

play16:17

the fuselage cross-section area

play16:21

the hoop all radial stresses are of

play16:24

greater significance than the axial

play16:25

stresses

play16:28

the differential pressures that set up

play16:30

these stresses can be as high as 65 and

play16:33

a half kilonewtons per square meter or

play16:36

nine and a half pounds per square inch

play16:44

this is the end of the lesson

play16:47

you should now know that tensile loads

play16:50

are resisted by ties

play16:53

that compressive loads are resisted by

play16:56

struts

play16:59

and the meaning of the terms stress and

play17:01

strain

play17:04

you should know the meaning of the term

play17:06

young's modulus of elasticity

play17:11

and you should also understand the

play17:13

relationship between design limit load

play17:16

and design ultimate load and the safety

play17:20

factor

play17:22

you should also know what the design

play17:24

limit load is for various types of

play17:27

aircraft

play17:29

and finally you should understand the

play17:32

properties of failsafe and damage

play17:35

tolerant structures

Rate This

5.0 / 5 (0 votes)

相关标签
Aircraft StructuresLoad ResistanceMaterial ScienceAviation SafetyFatigue AnalysisFailsafe DesignDamage ToleranceStress ManagementAerospace EngineeringFlight Mechanics
您是否需要英文摘要?