动力基础系统非线性本构关系的研究  

Nonlinear models of dynamical foundations

作　　者：鲍文博[1] 徐金花[1] 陈四利[1] 闻邦椿[2] 

机构地区：[1]沈阳工业大学建筑工程学院,辽宁沈阳110023 [2]东北大学机械工程与自动化学院,辽宁沈阳110006

出　　处：《地震工程与工程振动》2004年第5期52-55,104,共5页Earthquake Engineering and Engineering Dynamics

基　　金：国家自然科学基金项目(50075015)

摘　　要：采用理想集总参数计算体系,以三次幂多项式模型反映动力地基的非线性特性,将非线性幂函数作为循环荷载作用下系统位移-力关系的主干骨线,在此基础上按照Masing二倍法则,将骨线拓展为位移-力的滞回曲线,建立了动力基础双曲线滞回动力学模型。提出了非线性广义刚度函数的概念,建立了动力基础系统在不同振动形式下的非线性本构关系。The foundation-basement is simplified to a fixed parameter lumped parameter system. A nonlinear dynamic model possessing viscous damping is set up with the third power polynomial function, which reflects the nonlinear relation of displacement-force interacting between soil and foundation. And a new hyperbolic hysteresis loop model of dynamic foundation is presented ulteriorly adopting Masing duplation and extending the exponential backbone curve into hyperbolic hysteresis loop which simulates nonlinear and hysteresis character of the system. The concepts of nonlinear generalized stiff functions is developed in this paper and the nonlinear constitutive relations of dynamic foundations with different pattern of vibration is ulteriorly constructed based on these models.

关 键 词：动力基础 本构关系 理想集总参数 广义刚度函数 

分 类 号：P315.0[天文地球—地震学] TU435[天文地球—固体地球物理学]