非线性不确定结构动力响应的区间逐步离散法  

INTERVAL STEPPED DIVIDING METHOD FOR DYNAMIC RESPONSES OF UNCERTAIN STRUCTURES

作　　者：戎瑞亚[1] 吴国荣[1] 何锃[2] 

机构地区：[1]浙江海洋学院船舶与建筑学院,舟山316004 [2]华中科技大学土木工程与力学学院,武汉430074

出　　处：《振动与冲击》2008年第4期153-154,158,共3页Journal of Vibration and Shock

摘　　要：对非线性结构中的不确定性参数用区间表示,提出用区间逐步离散法求解结构动力响应。即将不确定性参数取区间离散点的值,将区间动力方程的求解转化为相应确定性问题,再搜索方程解中的最大和最小值来确定结构动力响应的边界。用算例对此法进行了验证。The uncertain parameters of a nonlinear structure are described using intervals.The interval stepped dividing method for dynamic responses is presented.The uncertain parameters are endowed with the values of a series of discrete points in intervals,and the interval dynamic equation is transformed into a series of deterministic ones.The bounds of dynamic responses are determined through searching for the maximum and minimum values of all the solutions.Some mathematical examples validate the proposed method.

关 键 词：非线性 不确定结构 动力响应 区间分析 逐步离散 

分 类 号：O242[理学—计算数学] TB12[理学—数学]