A novel approach to the dynamic response analysis of Euler-Bernoulli beams resting on a Winkler soil model and subjected to impact loads  

作　　者：Adolfo Foriero Filippo Santucci de Magistris Giovanni Fabbrocino 

机构地区：[1]Département de génie civil et de génie des eaux,Pavillon Adrien-Pouliot,UniversitéLaval,Québec,Canada [2]Dipartimento di Bioscienze e Territorio,Universitàdegli Studi del Molise,Campobasso,Italy [3]Construction Technologies Institute,National Research Council,ITC-CNR,L’Aquila,Italy

出　　处：《Earthquake Engineering and Engineering Vibration》2024年第2期389-401,共13页地震工程与工程振动（英文刊）

基　　金：l’UniversitéLaval for the financial support of his sabbatical year at Dipartimento di Bioscienze e Territorio,Universitàdegli Studi del Molise in Campobasso,Italy。

摘　　要：This work presents a novel approach to the dynamic response analysis of a Euler-Bernoulli beam resting on a Winkler soil model and subjected to an impact loading.The approach considers that damping has much less importance in controlling the maximum response to impulsive loadings because the maximum response is reached in a very short time,before the damping forces can dissipate a significant portion of the energy input into the system.The development of two sine series solutions,relating to different types of impulsive loadings,one involving a single concentrated force and the other a distributed line load,are presented.This study revealed that when a simply supported Euler-Bernoulli beam,resting on a Winkler soil model,is subject to an impact load,the resulting vertical displacements,bending moments and shear forces produced along the span of the beam are considerably affected.In particular,the quantification of this effect is best observed,relative to the corresponding static solution,via an amplification factor.The computed impact amplification factors,for the sub-grade moduli used in this study,were in magnitude greater than 2,thus confirming the multiple-degree-of-freedom nature of the problem.

关 键 词：beam-Winkler-soil model sub-grade moduli impact load impact distributed line load dynamic solution impact amplification factor 

分 类 号：U416.1[交通运输工程—道路与铁道工程]