Compliant mechanism generation method based on zero-depletion grid curved surface continuous deformation

Abstract

The invention discloses a compliant mechanism generation method based on zero depletion grid surface continuous deformation. The compliant mechanism generation method comprises the following steps: firstly, configuring initial component layout, initializing a calculation layer based on isogeometric analysis, applying load and constraint on isogeometric unit control points of the calculation layer,initializing iterative parameters of a moving asymptotic method, and optimizing iteration; calculating the volume of the triangular mesh, mapping the topology described by the upper triangular mesh to a lower calculation layer, calculating the projection value of a control point, and assembling an overall rigidity matrix; calculating a target function value of the structure response, solving thesensitivity of the volume, and inputting the sensitivity into an optimizer to obtain an updated coordinate value; judging triggering conditions of grid refinement, grid splitting and grid re-divisionoperation according to the updated vertex coordinate value, completing grid re-update, calculating non-control vertex update coordinates, updating the triangular grid curved surface shape, and completing one iteration; repeating iteration until convergence conditions are met. According to the method, structural response calculation and sensitivity analysis in the topological optimization process are reliably realized.

Description

technical field [0001] The invention belongs to the technical field of design of compliant mechanisms, and in particular relates to a method for generating compliant mechanisms based on continuous deformation of zero-genus grid surfaces. Background technique [0002] A compliant mechanism is an integral, continuous structure that can move, transmit force and energy from an input port to an output port through its own elastic deformation, which is quite different from a rigid mechanism consisting of rigid hinges and links; Due to the advantages of no assembly and lubrication, no friction, longer service life and smaller space, the compliant mechanism has been widely used in the fields of optical fiber alignment, micro-electromechanical systems, biological cell manipulation, precision engineering, etc. to achieve ultra- High precision. [0003] The design methods of compliant mechanisms mainly include two categories. The first category is based on kinematics. Usually, a pseud...

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Problems solved by technology

[0006] In the explicit topology optimization method based on components (primitives), the topology of the compliant mechanism is formed by the deformation, movement and combination of multiple components, so a sufficient number of components is required to satisfy the formation of holes in the topology. In the case of components, it is obviously impossible to form an optimal structure; therefore, the optimization results are highly dependent on the number of components and the initial layout, which makes the optimization complicated; in order to reduce the influence of the initial component layout on the optimal structure of the compliant mechanism, it is necessary Consider how to effectively and robustly form a globally optimal structure using only a simple initial component layout; moreover, most current topology optimization methods use finite elements for design domain discretization and structural response calculations, due to the low stability and Low-order continuous, which limits the optimal solution of topology optimization, so it is necessary to find a more reliable analysis method

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