Abstract
SummaryIt is shown that considerable improvement is achieved in the most popular classical approach to the vibration of structural members by giving new meaning to the generalised coordinate term in the infinite series expansion of the product of the generalised coordinate and eigenfunction. A transform employing the eigenfunction as a kernel efficiently generates a universal solution that embraces arbitrary loading, time-dependent boundary conditions, and such in-span conditions as supports and changes in cross section, axial load, and elastic foundation modulus. The method is applied to the Timoshenko beam as a representative structural member.
Publisher
Cambridge University Press (CUP)
Reference14 articles.
1. On the solution of certain differential equations by characteristic function expansions
2. General solution for a thin orthotropic rectangular plate;Solecki;Bulletin de L’Académie Polonaise des Sciences,1960
3. General computer analysis of beams;Goldberg;Proceedings of the American Society of Civil Engineers,1964
4. Discussion of the solution of dynamic beam problems by means of finite cis-hyperbolic transforms;Sevin;Shock and Vibration Bulletin,1966
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