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E-raamat: Influence Functions and Matrices

(Middle Tennessee State Univ, Murfreesboro, USA)
  • Formaat: 488 pages
  • Sari: Mechanical Engineering
  • Ilmumisaeg: 05-Oct-2017
  • Kirjastus: CRC Press Inc
  • Keel: eng
  • ISBN-13: 9781351438476
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Influence Functions and MatricesSuurem pilt
  • Formaat: 488 pages
  • Sari: Mechanical Engineering
  • Ilmumisaeg: 05-Oct-2017
  • Kirjastus: CRC Press Inc
  • Keel: eng
  • ISBN-13: 9781351438476
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Wishing to popularize the use of influence (Green's) functions among students of engineering and applied sciences, the author demonstrates the function's uses in classical problems of applied mechanics, as well as problems related to fluid flow, acoustic, electromagnetism, heat transfer, and elasticity. Boundary value problems; bending, natural vibrations, stability, and contact problems for single- and multi-spanned Kirchhoff's beams; two dimensional problems of potential, and other problems are discussed. The author also provides a list of influence functions and matrices. Annotation c. by Book News, Inc., Portland, Or.
PREFACE v
INTRODUCTION 1(6)
CHAPTER 1: Green's Function for ODE
7(42)
1.1. Defining properties and construction
7(16)
1.2. Symmetry of Green's functions
23(7)
1.3. Method of variation of parameters
30(15)
1.4. Review Exercises
45(4)
CHAPTER 2: Influence Functions for Beams
49(62)
2.1. Single span beams of uniform rigidity
50(14)
2.2. Bending under transverse loads
64(17)
2.3. Beams on an elastic foundation
81(11)
2.4. Beams of variable rigidity
92(12)
2.5. Review Exercises
104(7)
CHAPTER 3: Some Beam Problems
111(38)
3.1. Transverse natural vibrations
112(16)
3.2. Buckling (Euler formulation)
128(11)
3.3. Some contact problems
139(10)
CHAPTER 4: Assemblies of Elements
149(44)
4.1. Multi-point posed problems
149(11)
4.2. Bending of multi-spanned beams
160(15)
4.3. Problems posed on graphs
175(12)
4.4. Review Exercises
187(6)
CHAPTER 5: Potential and Related Fields
193(62)
5.1. Formulations in Cartesian coordinates
195(24)
5.2. Formulations in polar coordinates
219(11)
5.3. Potential fields on surfaces
230(8)
5.4. Klein-Gordon equation
238(13)
5.5. Review Exercises
251(4)
CHAPTER 6: Problems of Solid Mechanics
255(62)
6.1. Poisson-Kirchhoff's plates
257(19)
6.2. Reissner's plates
276(13)
6.3. Elastic isotropic media
289(12)
6.4. Orthotropic media
301(6)
6.5. Elastic equilibrium of thin shells
307(7)
6.6. Review Exercises
314(3)
CHAPTER 7: Compound Media
317(54)
7.1. Potential fields in compound regions
319(9)
7.2. Potential fields on plates and shells
328(27)
7.3. Plane problem for elastic media
355(14)
7.4. Review Exercises
369(2)
CHAPTER 8: Heat Equation
371(30)
8.1. Laplace transform
372(4)
8.2. Influence functions
376(17)
8.3. Influence matrices
393(6)
8.4. Review Exercises
399(2)
APPENDIX A: Catalogue of Green's Functions 401(14)
APPENDIX B: Answers and Comments 415(34)
REFERENCES 449(6)
INDEX 455


Yuri Melnikov
Lisainfo e-raamatute kohta Lisainfo e-raamatute kohta
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