General Vibration of a Hinged Beam
- 1 May 1944
- journal article
- research article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 15 (5) , 410-413
- https://doi.org/10.1063/1.1707447
Abstract
This paper is a continuation of a paper by the author entitled ``The Resolution of Boundary Value Problems by Means of the Finite Fourier Transformation: General Vibration of a String.'' A general boundary value problem of the transverse vibrations of a hinged beam was resolved into the solution of a pair of boundary value problems with much simpler boundary conditions. The finite sine transformation and its property of convolution were used to accomplish this. The transformed boundary value problem was solved by the introduction of a fundamental set of solutions of the homogeneous transformed problem.This publication has 1 reference indexed in Scilit:
- The Resolution of Boundary Value Problems by Means of the Finite Fourier Transformation: General Vibration of a StringJournal of Applied Physics, 1943