| 姚炳卿.多层弹性体系力学分析中积分常数计算的矩阵分析法[J].计算力学学报,1992,9(2): |
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| 多层弹性体系力学分析中积分常数计算的矩阵分析法 |
| A Matrix Analysis Method for Calculating Integral Constants of Multiple Layered Elastic System |
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| DOI：10.7511/jslx19922025 |
| 中文关键词: 多层弹性体系,积分常数,递推关系矩阵 |
| 英文关键词:multilayer elastic system, integral constant, recurrence relation matrix |
| 基金项目: |
| 姚炳卿 |
| 空军工程学院 西安 |
| 摘要点击次数: 1169 |
| 全文下载次数: 0 |
| 中文摘要: |
| 本文根据多层弹性体系在垂直或水平圆形均布荷载作用下的层间连续的接触条件,推导出表示相邻层积分常数间的递推关系矩阵[T],的显式表达式,给出了多层弹性体系力学分析中积分常数计算的矩阵分析方法及其简洁的计算公式。本文所述方法,原理通俗易懂,编程简单方便,计算快速省时,是一种很容易推广应用的有效方法。实例计算表明,本文所述方法是完全正确的。 |
| 英文摘要: |
| Based on the continuous contact conditions between layers of multilayer elastic system under vertical or horizontal circular uniform distributed loads, this paper derives the explicit expressions of recurrence relation matrix, which expresses the relation between the integral constants of adjacent two layers, and presents a matrix analysis method for calculating integral constants of multilayer elastic system. The analysis stated in this paper shows that the integral constants of multilayer elastic system undergoing horizontal load can be divided into two non-coupled sets: one is Ai, Bi, Ci and Di, and the other is Gi and Fi, and these two sets of constants can be solved separately. Furthmore, the recurrence relation matrix for calculating the integral constants Ai, Bi, Ci and Diunder both types of loads and their solving processes are the same, thus making it possible to reduce computer time for calculating these constants undergoing complex loads. The method described in this paper is effective and efficient with its principles easy to understand, programming simple and computation time-saving. Both in computation method and in applicable range for problem solving, it is an improvement upon the method as described in Ref. [5,6].The practical calculation example at the end of this paper gives clear indication that the method is correct and reliable. |
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