A Cayley-Hamilton transfer matrix method for solving the vibration characteristics of curved box beams

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (8) : 138-143.

YAN Xianli1,LI Qingning2

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Abstract

A new Cayley-Hamilton transfer matrix method was proposed by integrating the Cayley-Hamilton theorem and the transfer matrix method.It was based on the theory of differential equations and matrix analysis.Adopting this method,the space vibration transfer matrix of the discrete curved box girder bridge model was derived taking into account the spatial bending,shear,torsion,tension,compression,warping and their coupling effects.With a simply supported single span curved bridge as an example,a calculation programming was conducted to obtain the vibration frequency and vibration mode of the bridge by using the derived matrix.And compared with the results of the finite element method,the results agree well with each other.It demonstrates that this method is effective.

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bridge engineering / vibration characteristics / Cayley-Hamilton transfer matrix method / curved box beam

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YAN Xianli1,LI Qingning2. A Cayley-Hamilton transfer matrix method for solving the vibration characteristics of curved box beams[J]. Journal of Vibration and Shock, 2017, 36(8): 138-143

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