期刊文献+

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
下载PDF
导出
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.
出处 《噪声与振动控制》 CSCD 北大核心 2007年第6期29-31,共3页 Noise and Vibration Control
关键词 振动与波 不确定结构 动力响应 区间分析 逐步离散 vibration and wave uncertain structure dynamic response interval analysis stepped dividing
  • 相关文献

参考文献2

二级参考文献12

  • 1[3]Ram Y M, Braun S G. Upper and lower bounds for the natural frequencies. Journal of Sound and Vibration, 1990, 137(1):69~81 被引量:1
  • 2[4]Bodur I N, Marangoni R D. Upper and lower bounds to eigenvalues by weighting function approximations. In J Solids Structures, 1983, 19(12):1099~1114 被引量:1
  • 3[5]Ram Y M, Braun S G. Structural dynamic modification using truncated data: bounds for the eigenvalues. Mechanical Systems and Signal Processing, 1990, 4(1):39~52 被引量:1
  • 4[6]Qiu Z P, Chen S H, Elishakoff I. Natural frequencies of structures with uncertain but non-random parameters. Journal of Optimization Theory and Applications, 1995, 86(3):669~683 被引量:1
  • 5[7]Qiu Z P, Chen S H, Elishakoff I. Bounds of eigenvalues for structures with an interval description of uncertain-but-non-random parameters. Chao. Solitons & Fractals, 1996, 7(3):425~434 被引量:1
  • 6[8]Qiu Z P, Elishakoff I. Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis. Computer Methods in Applied Mechanics and Engineering, 1998, 152:361~372 被引量:1
  • 7[9]Qiu Z P, Elishakoff I, Strarnes Jr J H. The bound set of possible eigenvalues of structures with uncertain but non-random parameters. Chaos. Solitions & Fractals, 1996, 7(3):1845~1857 被引量:1
  • 8[10]Moore R E. Methods and Applications of Interval Analysis. Prenice-Hall Inc London, 1979 被引量:1
  • 9[11]Alefeld G, Herzberger J. Introductions to Interval Computations. Academic Press, New York,1983 被引量:1
  • 10[12]Ben-Haim Y, Elishakoff I. Convex Models of Uncertainty in Applied Mechanics. Elsevier Science Publishers, Amsterdam, 1990 被引量:1

共引文献2

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部