TY  - BOOK
AU  - Elishakoff,Isaac
TI  - Eigenvalues of inhomogeneous structures: unusual closed-form solutions 
SN  - 0849328926
AV  - TA654 .E495 2005
U1  - 624.176015118 22
PY  - 2005///]
CY  - Boca Raton, Fla.
PB  - CRC Press
KW  - Structural dynamics
KW  - Mathematical models
KW  - Buckling (Mechanics)
KW  - Eigenvalues
N1  - Includes bibliographical references (pages 653-710) and index; Ch. 1; Introduction : review of direct, semi-inverse and inverse eigenvalue problems --; Ch. 2; Unusual closed-form solutions in column buckling --; Ch. 3; Unusual closed-form solutions for rod vibrations --; Ch. 4; Unusual closed-form solutions for beam vibrations --; Ch. 5; Beams and columns with higher-order polynomial eigenfunctions --; Ch. 6; Influence of boundary conditions on Eigenvalues --; Ch. 7; Boundary conditions involving guided ends --; Ch. 8; Vibration of beams in the presence of an axial load --; Ch. 9; Unexpected results for a beam on an elastic foundation or with elastic support --; Ch. 10; Non-polynomial expressions for the beam's flexural rigidity for buckling or vibration --; Ch. 11; Circular plates
N2  - "This book offers a new treatment of closed-form solutions for semi-inverse eigenvalue problems. This work offers closed-form solutions for eigenfrequencies and buckling loads of bars, beams, and plates. An overwhelming majority of solutions have been derived for the first time since the first eigenvalue problem was solved by Leonhard Euler 260 years ago. The exact solutions in this book have applications that allow for the design of tailored and/or functionally graded structures."--BOOK JACKET
ER  -