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Analysis of Aircraft Structures: An Introduction 2nd Revised edition [Pehme köide]

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(University of Maryland, College Park)
  • Formaat: Paperback / softback, 976 pages, kõrgus x laius x paksus: 254x175x51 mm, kaal: 1660 g, 20 Tables, unspecified; 6 Halftones, unspecified; 418 Line drawings, unspecified
  • Sari: Cambridge Aerospace Series
  • Ilmumisaeg: 28-Sep-2012
  • Kirjastus: Cambridge University Press
  • ISBN-10: 1107668662
  • ISBN-13: 9781107668669
Teised raamatud teemal:
Analysis of Aircraft Structures: An Introduction 2nd Revised editionSuurem pilt
  • Formaat: Paperback / softback, 976 pages, kõrgus x laius x paksus: 254x175x51 mm, kaal: 1660 g, 20 Tables, unspecified; 6 Halftones, unspecified; 418 Line drawings, unspecified
  • Sari: Cambridge Aerospace Series
  • Ilmumisaeg: 28-Sep-2012
  • Kirjastus: Cambridge University Press
  • ISBN-10: 1107668662
  • ISBN-13: 9781107668669
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9781107668669.html
Märksõnad:
As with the first edition, this textbook provides a clear introduction to the fundamental theory of structural analysis as applied to vehicles, aircraft, spacecraft, automobiles, and ships. The emphasis is on the application of fundamental concepts of structural analysis in everyday engineering practice. No assumptions are made with regard to the method of analysis. All approximations are accompanied by a full explanation of their validity. Repetition is an important learning tool, and so some redundancy appears to dispel misunderstanding. The number of topics covered in detail is limited to those essential for modern structural engineering practice. In this new edition, more topics, figures, examples, and exercises have been added. A primary change has been a greater emphasis on the finite element methods of analysis. Three new chapters are now included, and clarity remains the hallmark of this text.

This text provides clear instruction in the fundamental concepts of structural analysis applied to vehicular structures such as aircraft, automobiles, ships, and spacecraft. It employs three strategies to achieve clarity of presentation: all approximations are fully explained, many important concepts are repeated, and essential introductory topics are covered.

Arvustused

Review of the hardback: 'Although the approach is classical, what makes this book different is the extensive and thorough treatment with hundreds of examples, questions and answers. No other textbook offers such a treatment The extensive treatment and very large number of examples is welcomed. Cambridge University Press is to be congratulated on producing a quality product for [ a] reasonable price ' G. A. O. Davies, Imperial College London

Muu info

This textbook covers the fundamental concepts of structural analysis applied to vehicular structures such as aircraft, automobiles, ships and spacecraft.
Introduction to the Second Edition xix
Introduction to the First Edition xxi
List of Repeated Engineering Symbols
xxv
Acknowledgments xxxiii
Part I The Fundamentals of Structural Analysis
I.1 An Overview of Part I
1(1)
I.2 Summary of Taylor's Series
2(1)
I.3 Summary of Newton's Method for Finding Roots
2(1)
I.4 The Binomial Series
3(1)
I.5 The Chain Rule for Partial Differentiation
4(1)
1 Stress in Structures
5(33)
1.1 The Concept of Stress
5(7)
1.2 The General Interior Equilibrium Equations
12(7)
1.3 Equilibrium at the Outer or Inner Boundary
19(4)
1.4 Plane Stress
23(4)
1.5 Summary
27(11)
Chapter 1 Exercises
29(9)
2 Stresses and Coordinate Axis Rotations
38(30)
2.1 Introduction
38(1)
2.2 Stress Values in Other Cartesian Coordinate Systems
38(5)
2.3 The Determination of Maximum Stress Values
43(4)
2.4 Mohr's Circle
47(5)
2.5 A Three-Dimensional View of Plane Stress
52(1)
2.6 **Principal Stresses in the General Three-Dimensional Case**
53(6)
2.7 Summary
59(1)
2.8 Octahedral (von Mises) Shearing Stresses
59(3)
2.9 **The Mathematical Description of Stresses**
62(6)
Chapter 2 Exercises
63(4)
Endnote (1) Solution for the Planes of Principal Stress
67(1)
3 Displacements and Strains
68(27)
3.1 Introduction
68(1)
3.2 Displacements
68(1)
3.3 Longitudinal Strains
69(8)
3.4 Shearing Strains
77(2)
3.5 Other Strain Definitions
79(1)
3.6 The Strain--Displacement Equations
80(1)
3.7 The Compatibility Equations
81(4)
3.8 Plane Strain
85(1)
3.9 Summary
86(9)
Chapter 3 Exercises
87(2)
Endnote (1) The Derivation of the Strain--Displacement Equations for Cylindrical Coordinates
89(1)
Endnote (2) A Third Derivation of the Compatibility Equations
90(5)
4 Strains in Rotated Coordinate Systems
95(14)
4.1 Introduction
95(1)
4.2 Strains in Other Cartesian Coordinate Systems
95(3)
4.3 Strain Gauges
98(4)
4.4 The Mathematical Properties of Strains
102(1)
4.5 Summary
102(7)
Chapter 4 Exercises
105(4)
5 The Mechanical Behavior of Engineering Materials
109(37)
5.1 Introduction
109(7)
5.2 The Tensile Test
116(8)
5.3 Compression and Shear Tests
124(1)
5.4 Safety Factors
125(2)
5.5 Factors Other than Stress That Affect Material Behavior
127(9)
5.6 **Biaxial and Triaxial Loadings**
136(2)
5.7 Simplifications of Material Behavior
138(8)
Chapter 5 Exercises
140(3)
Endnote (1) Residual Stress Example Problem
143(1)
Endnote (2) Crack Growth Example
144(2)
6 Linearly Elastic Materials
146(19)
6.1 Introduction
146(2)
6.2 Orthotropic Materials
148(5)
6.3 Isotropic and Other Linearly Elastic Materials
153(4)
6.4 The Plane Stress Constitutive Equations
157(1)
6.5 **Applications to Fiber Composites**
157(2)
6.6 Summary
159(6)
Chapter 6 Exercises
160(3)
Endnote (1) Negative Poisson Ratios
163(2)
Part II **Introduction to the Theory of Elasticity**
II.1 Introduction
165(2)
7 The Theory of Elasticity
167(25)
7.1 Introduction
167(1)
7.2 A Theory of Elasticity Solution Using Stresses
168(5)
7.3 A Theory of Elasticity Solution Using Displacements
173(4)
7.4 Reprise
177(4)
7.5 Summary
181(11)
Chapter 7 Exercises
181(6)
Endnote (1) General Problem Formulations
187(3)
Endnote (2) Another Solution to the Disk Displacement Equation
190(1)
Endnote (3) Example 7.1 Compatibility Equation
190(2)
8 Plane Stress Theory of Elasticity Solutions
192(27)
8.1 Introduction
192(1)
8.2 Solution Examples
192(6)
8.3 St. Venant's Principle
198(1)
8.4 **Review Problem**
199(3)
8.5 Summary
202(1)
8.6 **The Airy Stress Function**
202(17)
Chapter 8 Exercises
204(5)
Endnote (1) An Example of Calculating Displacements from a Stress Solution
209(2)
Parts I and II Review Questions
211(8)
Part III Engineering Theory for Straight, Long Beams
III.1 Aircraft and Other Vehicular Structures
219(2)
III.2 The Method of Undetermined Coefficients
221(2)
III.3 Linear Independence
223(1)
III.4 The Mean Value Theorem
224(1)
9 Bending and Extensional Stresses in Beams
225(46)
9.1 Introduction
225(1)
9.2 An Elaboration on the Scope of Strength of Materials
226(1)
9.3 Stress Resultants
227(3)
9.4 The Approximate Pattern for Beam Displacements
230(8)
9.5 The Accuracy of the Beam Stress Equation
238(3)
9.6 Calculation of the Area Properties of the Nonhomogeneous Cross-Section
241(8)
9.7 Calculation of Equivalent Thermal Loads
249(3)
9.8 Principal Axes for the Beam Cross-Section
252(2)
9.9 Summary
254(17)
Chapter 9 Exercises
259(9)
Endnote (1) The Predominance of the Normal Axial Stress
268(2)
Endnote (2) Schwartz's Inequality
270(1)
10 Beam Bending and Extensional Deflections
271(39)
10.1 Introduction
271(1)
10.2 The Small Deflection Beam Equilibrium Equations
272(2)
10.3 Nonlinear Beam Equilibrium Equations
274(8)
10.4 Boundary Conditions and the Boundary Value Problem
282(3)
10.5 Uncoupled Forms of the GDEs and the BCs
285(1)
10.6 Solutions for Beam Deflection Problems
286(10)
10.7 Summary
296(14)
Chapter 10 Exercises
300(5)
Endnote (1) Different BCs in Different Planes at the Same Beam End
305(1)
Endnote (2) The Nonlinear Form of the Axial Deflection Equation
306(1)
Endnote (3) The Presence of the Moment per Unit Length Terms in the Shear Force Boundary Condition Expressions
307(1)
Endnote (4) Exact Integrations for a Nonuniform Beam
307(3)
11 Additional Beam Bending Topics
310(58)
11.1 Introduction
310(1)
11.2 The Concept of Elastic Boundary Conditions
310(2)
11.3 Elastic Support Boundary Conditions
312(4)
11.4 Concentrated and Partial Span Loads
316(4)
11.5 Partial Span and Concentrated Load Example Problems
320(9)
11.6 Introduction to Beam Buckling
329(5)
11.7 **Additional Comments on Beam Buckling**
334(2)
11.8 Summary
336(32)
Chapter 11 Exercises
346(13)
Endnote (1) The Bending Slope Sign Convention
359(1)
Endnote (2) Combined Beam Axial and Lateral Loadings
359(4)
Endnote (3) Heaviside Step Function Additional Comments
363(1)
Endnote (4) Combined Bending and Torsional Loadings
364(2)
Endnote (5) Beams Continuous over Several Supports
366(2)
12 Uniform Torsion of Beams
368(35)
12.1 Introduction
368(1)
12.2 The Stress Formulation for Uniform Torsion
369(7)
12.3 Further Properties of the Prandtl Stress Function
376(2)
12.4 The Membrane Analogy
378(4)
12.5 Closed Form Beam Torsion Analytical Solutions
382(5)
12.6 Open Form Uniform Beam Torsion Solutions
387(4)
12.7 Summary
391(12)
Chapter 12 Exercises
396(4)
Endnote (1) A Comment on the Solution for a Circular Shaft with a Keyway
400(1)
Endnote (2) Orthogonality
400(1)
Endnote (3) A Separation of Variables Approach to Example 12.1
401(2)
13 Beam Torsion Approximate Solutions
403(41)
13.1 Introduction
403(1)
13.2 Open Cross-Section Beam Torsion
404(6)
13.3 Closed Section Beam Torsion
410(10)
13.4 Accuracy of the Uniform Torsion Theory
420(1)
13.5 Beams Subjected to a Variable Torque
421(3)
13.6 Summary
424(20)
Chapter 13 Exercises
426(4)
Endnote (1) Torsion Constants for Rolled and Extruded Beams
430(3)
Endnote (2) Warping Constraint Due to Varying Torque
433(1)
Beam Bending and Torsion Review Questions
434(10)
14 Beam Shearing Stresses Due to Shearing Forces
444(31)
14.1 Introduction
444(1)
14.2 Thin-Walled Open Cross-Sections
444(4)
14.3 Thin-Walled Open Cross-Section Example Problems
448(9)
14.4 The Open Section Shear Center
457(2)
14.5 Shear Flows in Thin-Walled Closed Cross-Sections
459(5)
14.6 Summary
464(11)
Chapter 14 Exercises
469(4)
Endnote (1) The Shear Center as the Center of Twist
473(2)
Part IV Work and Energy Principles
IV.1 Preface
475
IV.2 The Green--Gauss Theorem
475(4)
15 Work and Potential Energy Principles
479(42)
15.1 Introduction
479(2)
15.2 Work and Potential Energy
481(2)
15.3 Virtual Work and Virtual Potential Energy
483(3)
15.4 The Variational Operator
486(4)
15.5 The Principle of Virtual Work
490(5)
15.6 Internal Virtual Work
495(2)
15.7 Complementary Virtual Work
497(5)
15.8 **Energy and Other Principles**
502(2)
15.9 **Modifications for Temperature Changes**
504(2)
15.10 Summary
506(15)
Chapter 15 Exercises
507(3)
Endnote (1) Further Explanation of the Variational Operator
510(4)
Endnote (2) Proof That the Principle of Virtual Work Is a Sufficient Condition for Equilibrium
514(2)
Endnote (3) Proof of the Pairing of BCs for the Beam Fourth Order Bending Equations and the Second Order Extension Equations
516(2)
Endnote (4) Derivation of the Uniform Torsion Beam Equations Using the Principle of Complementary Virtual Work
518(3)
Part V Energy-Based Numerical Solutions
V.1 Preface
521(2)
16 **Precursor Numerical Analyses**
523(22)
16.1 Introduction
523(1)
16.2 Numerical Methods of Note
523(17)
16.3 Summary
540(5)
Chapter 16 Exercises
542(3)
17 Introduction to the Finite Element Method
545(57)
17.1 Introduction
545(1)
17.2 Generalized Coordinates
546(5)
17.3 The Beam Bending Finite Element
551(5)
17.4 The Bar and Spring Element Stiffness Matrix Equations
556(2)
17.5 Assembling the System Matrix Equation
558(7)
17.6 Solving the System Matrix Equation
565(2)
17.7 Example Beam Frame and Grid Problems
567(7)
17.8 More Extensive Example Problems
574(7)
17.9 Summary
581(21)
Chapter 17 Exercises
592(6)
Endnote (1) Distributed Coordinates
598(1)
Endnote (2) Accuracy of the Concentrated Load Approximation
599(1)
Endnote (3) The Reason for the Name "Generalized Coordinates"
600(2)
18 Finite Element Truss Problems
602(21)
18.1 Introduction
602(1)
18.2 The Rotated Bar Element
602(5)
18.3 Equivalent Thermal Loads
607(3)
18.4 Other Initial Strains
610(1)
18.5 Enforced Deflections
611(1)
18.6 Summary
612(11)
Chapter 18 Exercises
617(3)
Endnote (1) Substructuring in Static Analyses
620(3)
19 Basic Aspects of Multidimensional Finite Elements
623(32)
19.1 Introduction
623(1)
19.2 A Rectangular Plane Stress Finite Element
623(12)
19.3 A Triangular Plane Stress Element in Brief
635(1)
19.4 Three-Dimensional Finite Elements
636(1)
19.5 Refined Finite Elements of Simple Shapes
637(5)
19.6 **The Finite Element Method with Time-Varying Loads**
642(7)
19.7 Summary
649(6)
Chapter 19 Exercises
650(3)
Endnote (1) An Explanation for Rigid Body Motion-Induced False Strains
653(1)
Endnote (2) Reducing the Number of DOF in a Dynamic Analysis
653(2)
20 The Unit Load Method for Determinate Structures
655(45)
20.1 Introduction
655(1)
20.2 External Complementary Virtual Work in the Unit Load Method
656(2)
20.3 Internal CVW for Beam Bending and Extension
658(9)
20.4 Internal Complementary Virtual Work for Beam Torsion
667(2)
20.5 **Internal CVW for Beam Shearing**
669(1)
20.6 Additional Illustrative Examples
670(7)
20.7 **Examples of Using the ULM for Design Purposes**
677(5)
20.8 **General Deflection Solutions**
682(1)
20.9 **Large Radius Curved Beams**
683(5)
20.10 Summary
688(1)
20.11 Maxwell's Reciprocity Theorem
689(11)
Chapter 20 Exercises
693(5)
Endnote (1) ULM Limitations
698(1)
Endnote (2) Internal Complementary Virtual Work
699(1)
21 The Unit Load Method for Indeterminate Structures
700(57)
21.1 Introduction
700(1)
21.2 Identifying Redundant Forces and Moments
700(4)
21.3 The Coiled Spring Structural Elements
704(3)
21.4 The Strategy of Releases and Reattachments
707(4)
21.5 Example Problems
711(13)
21.6 **Further Example Problems**
724(5)
21.7 Summary
729(28)
Chapter 21 Exercises
737(10)
Parts IV and V Review Questions
747(10)
Part VI Thin Plate Theory and Structural Stability
VI.1 Introduction
757(2)
22 Thin Plate Theory
759(33)
22.1 Introduction
759(1)
22.2 The Plate Midplane
760(1)
22.3 The Plate Stress Resultants
761(2)
22.4 The Approximate Pattern for Plate Displacements
763(3)
22.5 The Small Deflection Thin Plate Bending Equation
766(4)
22.6 Thin Plate Boundary Conditions
770(3)
22.7 **Classical Small Deflection Plate Bending Solutions**
773(4)
22.8 **Plate Buckling and Its Uses**
777(4)
22.9 A Simple Plate Bending Finite Element
781(7)
22.10 Summary
788(4)
Chapter 22 Exercises
788(3)
Endnote (1) The Second Finite Deflection Plate Equation
791(1)
23 Elastic and Aeroelastic Instabilities
792(47)
23.1 Introduction
792(1)
23.2 An Energy Formulation of the Beam Buckling Problem
792(3)
23.3 A Beam Buckling Finite Element
795(5)
23.4 Further Aspects of the Energy Formulation
800(6)
23.5 Types of Fluid---Structure Interaction Instabilities
806(2)
23.6 Airfoil Divergence
808(6)
23.7 Airfoil Flutter
814(6)
23.8 Matrix Iteration for Symmetric Matrices
820(19)
Chapter 23 Exercises
829(2)
Endnote (1) Resonance
831(2)
Endnote (2) Diagonalization and Functions of Matrices
833(6)
Appendix A Additional Topics
839(12)
A.1 Integration of the Strains to Obtain Displacements
839(2)
A.2 Proof of the Symmetry of the Compliance Matrix
841(5)
A.3 Uniform Torsion Stress Resultants for Multiply Connected Cross-Sections
846(2)
A.4 The Uniform Torsion GDE for Multiply Connected Cross-Sections
848(2)
A.5 Calculation of the Twist per Unit Length of a Single Cell of an N-Cell Cross-Section
850(1)
Appendix B Selected Answers to Exercises
851(74)
References 925(4)
Index 929
Bruce K. Donaldson was first exposed to aircraft inertia loads when he was a carrier-based US Navy antisubmarine pilot. He subsequently worked in the structural dynamics area at the Boeing Company and at the Beech Aircraft Corporation in Wichita, Kansas, before returning to school and embarking on an academic career in the area of structural analysis. He became a professor of aerospace engineering and then a professor of civil and environmental engineering at the University of Maryland. Professor Donaldson is the recipient of numerous teaching awards and has maintained industry contacts, working various summers at government agencies and for commercial enterprises, the last being Lockheed Martin in Fort Worth, Texas. He is the author of Introduction to Structural Dynamics, also published by Cambridge University Press.