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Influence Functions and Matrices : Mechanical Engineering (Marcel Dekker Hardcover) - Yuri A. Melnikov

Influence Functions and Matrices

Mechanical Engineering (Marcel Dekker Hardcover)

Hardcover Published: 1st January 1998
ISBN: 9780824719418
Number Of Pages: 488

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"Analyzes a wide range of problem classes originating in applied mechanics, stressing the use of influence (Green's) functions in their analysis. Provides an extensive list of influence functions and matrices-several in print for the first time. Addresses areas such as fluid flow, acoustics, electromagnetism, heat transfer, and elasticity."

Prefacep. v
Introductionp. 1
Green's Function for ODEp. 7
Defining properties and constructionp. 7
Symmetry of Green's functionsp. 23
Method of variation of parametersp. 30
Review Exercisesp. 45
Influence Functions for Beamsp. 49
Single span beams of uniform rigidityp. 50
Bending under transverse loadsp. 64
Beams on an elastic foundationp. 81
Beams of variable rigidityp. 92
Review Exercisesp. 104
Some Beam Problemsp. 111
Transverse natural vibrationsp. 112
Buckling (Euler formulation)p. 128
Some contact problemsp. 139
Assemblies of Elementsp. 149
Multi-point posed problemsp. 149
Bending of multi-spanned beamsp. 160
Problems posed on graphsp. 175
Review Exercisesp. 187
Potential and Related Fieldsp. 193
Formulations in Cartesian coordinatesp. 195
Formulations in polar coordinatesp. 219
Potential fields on surfacesp. 230
Klein-Gordon equationp. 238
Review Exercisesp. 251
Problems of Solid Mechanicsp. 255
Poisson-Kirchhoff's platesp. 257
Reissner's platesp. 276
Elastic isotropic mediap. 289
Orthotropic mediap. 301
Elastic equilibrium of thin shellsp. 307
Review Exercisesp. 314
Compound Mediap. 317
Potential fields in compound regionsp. 319
Potential fields on plates and shellsp. 328
Plane problem for elastic mediap. 355
Review Exercisesp. 369
Heat Equationp. 371
Laplace transformp. 372
Influence functionsp. 376
Influence matricesp. 393
Review Exercisesp. 399
Catalogue of Green's Functionsp. 401
Answers and Commentsp. 415
Referencesp. 449
Indexp. 455
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780824719418
ISBN-10: 0824719417
Series: Mechanical Engineering (Marcel Dekker Hardcover)
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 488
Published: 1st January 1998
Publisher: CRC PR INC
Country of Publication: US
Dimensions (cm): 26.11 x 17.68  x 2.72
Weight (kg): 1.02
Edition Number: 1