Forced Vibration Calculation of the Eccentric Stepped Beam-Foundation System

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (22) : 118-124.

WANG Jian1, 2 ZHANG Zhen-guo1, 2 REN Long-long1, 2 HUA Hong-xing1, 2

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Abstract

The vibrations in vertical and longitudinal directions will couple if mass eccentricities are considered in the beam, a theoretical/experimental method focus on the vibration of eccentric stepped beam-complicated flexible foundation system is proposed combining the receptance coupling and modified transfer matrix method. The method is validated via the comparison to the results obtained by the FEM. The influence on the response of the system caused by eccentricity is investigated. Eccentricity can hardly affect the vertical response of the system, while it can induce displacement in longitudinal direction even the beam is under vertical excitation. The longitudinal vibration is introduced by the form of eθ, therefore, the associated longitudinal displacement is proportional to eccentricity and its characteristic frequencies are consistent with that of the vertical displacement.

Key words

mass eccentricity / stepped beam / flexible foundation / receptance coupling method

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WANG Jian1, 2 ZHANG Zhen-guo1, 2 REN Long-long1, 2 HUA Hong-xing1, 2. Forced Vibration Calculation of the Eccentric Stepped Beam-Foundation System[J]. Journal of Vibration and Shock, 2017, 36(22): 118-124

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