Fedoruk

pp. 207-215

pp. 215-225

p. 542-558

pp. 225-236

This paper describes a method for solving the inverse dynamic problem with the use of the systems for simulation of complex technical objects. Mathematical basis for solving that problem were presented. The problem-solving procedure contains two stages. Numerical simulation of a mechanical system under given external influence is performed at the first stage; this influence is represented as dependence of position coordinates of the system’s several elements on time. During this simulation reciprocal deflections of the operating mechanism’s application points are recorded. At the second stage previously applied forces are removed. Simulation of the system under the influence of displacements in the operating mechanisms determined at the first stage is carried out. In the process created forces are registered. An example of solving the inverse dynamic problem for a tripod was presented.

This article describes a parallel algorithm for solving systems of linear algebraic equations with a multi-diagonal (band) coefficient matrix. A scheme of the algorithm for multi-processor shared-memory computing systems is also presented in the article. Data structures for a compact storage of sparse band matrices were implemented. Theoretical and experimental investigations of efficiency of the algorithm were conducted using various problems. Dependences of the program’s speedup on various parameters of the problem and the number of processors were given in this work. The conclusion presents pros and cons of the algorithm.