Eigenvalues of Inhomogeneous Structures: Unusual Closed-Form Solutions

ISBN-13: 9780367454272 / Angielski / Miękka / 2020 / 752 str.

Isaac Elishakoff

Opis

Eigenvalues of Inhomogeneous Structures: Unusual Closed-Form Solutions 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 f

Spis treści

Foreword. Prologue. Introduction: Review of Direct, Semi-Inverse and Inverse Eigenvalue Problems. Unusual Closed-Form Solutions in Column Buckling. Unusual Closed-Form Solutions for Rod Vibrations. Unusual Closed-Form Solutions for Beam Vibrations. Beams and Columns with Higher-Order Polynomial Eigenfunctions. Influence of Boundary Conditions on Eigenvalues. Boundary Conditions Involving Guided Ends. Vibration of Beams in the Presence of an Axial Load. Unexpected Results for a Beam on an Elastic Foundation or with Elastic Support. Non-Polynomial Expressions for the Beam's Flexural Rigidity for Buckling or Vibration. Circular Plates. Epilogue. Appendices. References. Author Index. Subject Index.

O autorze

Elishakoff, Isaac