Efficient solution of load-deflection equations.
Efficient solution of load-deflection equations.
复制标题
载荷-挠度方程的有效求解。
DOI：
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发表时间：
1969
期刊：
影响因子：
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通讯作者：
R. Bamford
中科院分区：
文献类型：
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作者：
R. Melosh;R. Bamford
一组联立方程的求解是静力结构分析中的中心问题。介绍了一种求解方程的综合方法，其基础是使用波前数据处理和改进的高斯求解算法。波前处理涉及根据结构连通性而不是带宽分配数据。因此，与带宽处理相比，可以处理更大的稀疏系数矩阵。本文从工程师的角度描述了解决过程；该过程的步骤的详细描述也提供给程序开发人员使用。计算机代码的速度测试表明，虽然在某些情况下产生的时间损失可以忽略不计，但与带宽Choleski过程相比，新方法在其他情况下有很大的改进。对代码的精度测试表明，对于一个Choleski例程有38%误差的问题，修正高斯的误差小于0.006%。
Solution of a set of simultaneous equations is the central problem in static structural analysis. An integrated approach to equation solution is explained, the basis of which is the use of wavefront data processing and a modified Gauss solution algorithm. The wavefront processing involves the allocation of data in accordance with the structural connectivity rather than the bandwidth. Hence, larger sparse matrices of coefficients can be treated than with bandwidth processing. The paper describes the solution process from the point of view of the engineer; a detailed description of the steps of the process is also provided for the use of a program developer. Speed tests of the computer code show that while a negligible time penalty is incurred in some cases, there is a great improvement in others when the new approach is compared with a bandwidth Choleski process. Accuracy tests of the code show that the error in the modified Gauss is less than 0.006% for a problem in which the Choleski routine has 38% error.