Optimization of elements reinforcement in micromechanical devices for geological surveys: computer simulation and experiment

Abstract

The relevance of the study is caused by the use of gyroscopes and inclinometers to measure the trajectory of drilling wells. The plates of various configurations with technological cut-outs or inserts are often used as elements of these devices. The presence of these plates leads to stress concentration in some areas and their further destruction if these stresses exceed the ultimate strength of the material. One way to improve the reliability of these elements is the reinforcement of the plates, which allows strengthening the structure in problem areas. The main aim of the study is to develop a method and algorithm for topological optimization of microstructure of reinforcing with constraints on stresses for plates that are the members of the gyroscopes and inclinometers, to increase their strength and reliability. Methods. The finite element methods for problems of mechanics of a solid deformable body are used for mathematical modeling of the stress-strain state of plates. The optimal structure of plate reinforcement is obtained by the method of topological optimization developed by the authors. The results. The proposed and implemented algorithm in the form of a complex of programs makes it possible to obtain topologically optimal reinforcement of plates not only in the presence of cuts and holes, but also in the presence of inclusions from other material in the base material of the plate.

Keywords

• reinforcement
• wireless electromagnetic channel
• Mises criterion
• plates with technological cut-outs
• topological optimization
• finite element method