A global stress-constrained topology optimization method for compliant mechanism based on k-s function

Abstract

A K-S function-based global stress-constrained topology optimization method for a compliant mechanism, the method comprising: (1) defining a design domain, initializing design variables; (2) penalizing the stiffness of structural elements, performing finite element solutions, and obtaining Displacement and stress of the structure; (3) Use the K-S function to condense the local stress constraints of all elements into a global maximum stress constraint; (4) Solve the sensitivity of the mutual strain energy objective function, the volume and the sensitivity of the maximum stress constraint; (5) Modify the sensitivity with the sensitivity filtering technique; (6) Solve the optimization problem with the moving asymptote algorithm, repeat iteratively until the convergence criterion is satisfied, and obtain the optimal topological configuration. The invention uses the K-S function to condense the huge number of constraints caused by the stress of all units into a global constraint, which greatly improves the calculation efficiency. The topology optimization method of the present invention enables the configuration of the compliant mechanism to avoid a hinge-like structure, meets the strength requirements, and relieves the phenomenon of stress concentration.

Description

technical field [0001] The invention relates to a K-S function-based global stress constraint topology optimization method for a compliance mechanism, and belongs to the technical field of the optimization design of a compliance mechanism. Background technique [0002] Compliant mechanism is a mechanism that transmits motion, force or energy by using the elastic deformation of its own flexible elements. It has excellent characteristics such as easy processing, no assembly, low vibration and noise, no friction and no lubrication, and easy integration of modern drive technology. It has a wide range of applications in the fields of nano-manufacturing, precision machining, precision positioning, and micro-electromechanical systems. [0003] At present, there are two main methods for compliant mechanism design: pseudo-rigid body model method and topology optimization method. When using the pseudo-rigid model to deal with the design problem of the compliant mechanism, it needs to...

AI Technical Summary

Problems solved by technology

At present, for compliant mechanisms, the local stress topology optimization design that meets the strength requirements is likely to cause singular solution phenomena and highly nonlinear behavior problems, and the stress of all elements is used as constraints, resulting in a huge number of constraints, resulting in a huge amount of calculation and low efficiency. Low

Images