中北大学学报（自然科学版）Issue(3)：311-316,322,7.DOI:10.3969/j.issn.1673-3193.2015.03.013
弹性支承梁在均布冲击荷载下的振动解耦
Coupled Vibration of Elastically Supported Beam Under Uniform Impact Load
摘要
Abstract
The traditional solutions for dynamic response of elastically supported beam were obtained with the aid of numerical methods.This led to pseudo damper and unreliable results because of the influ-ence of the truncation error which was generated from the numerical calculation.Using the theory of vi-bration of elastic beam and changing the expression of the displacement,a new analytical solution for the coupled vibration of elastically supported beam under uniform rectangular pulse or triangular pulse was developed.In contrast with the finite element method,the analytical method was proved available.The new analytical solution was consistent with the expression of single degree of freedom system in classical structural dynamic theory.The coupled vibration features of beam and supported spring were presented. And the pseudo damper and unreliable results were avoided.The example analysis indicated that the way to increase the blast resistence of beam by setting spring at the end of it was related to the material char-acteristics of beam and the stiffness of spring.For strain-rate sensitive material,the impact performance of beam can be improved by installing the spring supports with small stiffness.By contrast,it was not effective for great stiffness supports.关键词
弹性支承/梁/冲击荷载/耦合振动特征/解析解Key words
elastic support/beam/impact load/coupled vibration feature/analytical solution分类
数理科学引用本文复制引用
王书鹏..弹性支承梁在均布冲击荷载下的振动解耦[J].中北大学学报（自然科学版）,2015,(3):311-316,322,7.基金项目
河北省高等学校科学技术研究青年基金项目(QN20131160) （QN20131160）
河北省科技计划项目(13275414) （13275414）
