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：《噪声与振动控制》2007年第6期29-31,共3页Noise and Vibration Control

摘　　要：对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。In this paper the uncertain parameters of a linear structure are described with interval numbers. Interval stepped dividing method for dynamic responses is presented. The uncertain parameters are endowed with the values of a divided interval, and the solution of interval dynamic equation is transformed into the corresponding certain one. The bounds of dynamic responses are determined by searching for the maximum and minimum in the solutions. Some mathematical examples validate the proposed method.

关 键 词：振动与波 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]