This paper is concerned with the dynamic stiffness formulation and its application for a Bernoulli-Euler beam carrying a two degree-of-freedom spring-mass system. The effect of a two degree-of-freedom system kinematically connected to the beam is represented exactly by replacing it with equivalent stiffness coefficients, which are added to the appropriate stiffness coefficients of the bare beam. Numerical examples whose results are obtained by applying the Wittrick-Williams algorithm to the total dynamic stiffness matrix are given and compared with published results. Applications of the theory include the free vibration analysis of frameworks carrying two degree-of-freedom spring-mass systems.
Dynamic Stiffness Formulation and Its Application for a Combined Beam and a Two Degree-of-Freedom System
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received May 2002; Revised Dec. 2002. Associate Editor: B. Yang.
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Banerjee, J. R. (June 18, 2003). "Dynamic Stiffness Formulation and Its Application for a Combined Beam and a Two Degree-of-Freedom System ." ASME. J. Vib. Acoust. July 2003; 125(3): 351–358. https://doi.org/10.1115/1.1569943
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