拉压弹性模量不等材料简支梁的线性振动问题  

On Linear Vibration of Simply-Supported Beam Made of Material with Different Tension-Compression Elastic Moduli

作　　者：王铭慧[1] 赵永刚[1] 王康建[1] 张秀樟 

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《甘肃科学学报》2014年第5期10-13,共4页Journal of Gansu Sciences

基　　金：国家自然科学基金项目(11262010)

摘　　要：基于弹性力学的基本理论和不同模量弹性理论,分析了拉压弹性模量不等材料简支梁的自由振动情况下的应力和应变,同时给出相应的应力计算公式.通过自由振动的振动微分方程,解析了自由振动的前三阶频率和主振型.通过数值计算,分析频率和主振型随模量比的变化情况.Based on the basic principle of elastic mechanics and the theory of different elastic moduli,the stress and strain of the simply supported beam made of material with different tension-compression elastic moduli in free vibration were analyzed and the corresponding formula for calculation of stress was given.The first three step vibration frequencies and principal mode of free vibration were analyzed through the vibration differential equation of free vibration.The frequencies and principal modes which changed with modulus ratio were analyzed through numerical calculation.

关 键 词：弹性模量 简支梁 自由振动 频率 主振型 

分 类 号：O343.5[理学—固体力学]