Dynamic Behavior of Continuous Beams with Moving Loads

by Toshiro Hayashikawa, Research Assoc.; Dept. of Civ. Engrg., Hokkaido Univ., Nishi 8 Kita 13 Kita-Ku, Sapporo, 060, Japan,
Noboru Watanabe, Prof.; Dept. of Civ. Engrg., Hokkaido Univ., Nishi 8 Kita 13 Kita-Ku, Sapporo, 060, Japan,


Serial Information: Journal of the Engineering Mechanics Division, 1981, Vol. 107, Issue 1, Pg. 229-246


Document Type: Journal Paper

Discussion: Abdel-Rohman Mahamed (See full record)
Errata: (See full record)
Closure: (See full record)

Abstract: An analytical method for determining eigenvalues and eigenfunctions of continuous beams with arbitrary boundary conditions is developed by using a general solution of a differential equation for the lateral vibration of the beam. This method can be applied to nonuniform cross section beams and calculated to higher eigenvalues very accurately. The dynamic response of a continuous beam traversed by a moving load with constant velocity is studied. The analysis is conducted by the method of modal analysis. Numerical examples are presented to illustrate the applicability of the analysis and to investigate the dynamic characteristics of continuous beams.

Subject Headings: Continuous beams | Eigenvalues | Moving loads | Modal analysis | Numerical analysis | Arbitration | Boundary conditions

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