具有弹性边界条件的圆板对简谐激励的响应  

Response of circular plate with elastic boundary conditions to harmonic excitation

作　　者：崔勇俊[1] 苗彦[1] 

机构地区：[1]大连大学机械系,辽宁大连116622

出　　处：《组合机床与自动化加工技术》2002年第4期12-14,共3页Modular Machine Tool & Automatic Manufacturing Technique

摘　　要：在线性轴对称假设条件下建立了圆板的运动微分方程及其通用 (弹性 )边界条件。通过引入零次贝塞尔函数J0 求得齐次方程的通解 ,再通过引入汉克尔 (Hankel)变换求出方程的特解 ,最终获得圆板对简谐激励的响应 。In this paper the deferential equation and the elastic boundary conditions of a circular plate are established supposing the system is linear and axial symmetry. The homogeneous general solution and the special solution of the equation are derived respectively by introducing Bessel Function J 0 and Hankel Transformation. Finally the response of circular plate with elastic boundary conditions to harmonic excitation is obtained, which lays a important theoretical foundation for the distinguishing of the system boundary parameters.

关 键 词：圆板振动 弹性边界条件 简谐激励 汉克尔变换 

分 类 号：TH113[机械工程—机械设计及理论] TB123[理学—工程力学]