Assembly variation analysis of compliant mechanisms by combining direct linearization method and Lagrange’s equations
| Autor: | Zhihua Niu, Zhi-Min Li, Sun Jin, Tao Liu |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
0209 industrial biotechnology
Computer science Compliant mechanism 02 engineering and technology Kinematics Variation (game tree) Equilibrium equation Industrial and Manufacturing Engineering Finite element method 020303 mechanical engineering & transports 020901 industrial engineering & automation 0203 mechanical engineering Control and Systems Engineering Control theory Linearization Benchmark (computing) Joint (geology) |
| Zdroj: | Assembly Automation. 39:740-751 |
| ISSN: | 0144-5154 |
| Popis: | Purpose This paper aims to carry out assembly variation analysis for mechanisms with compliant joints by considering deformations induced by manufactured deviations. Such an analysis procedure extends the application area of direct linearization method (DLM) to compliant mechanisms and also illustrates the dimensional interaction within multi-loop compliant structures. Design/methodology/approach By applying DLM to both geometrical equations and Lagrange’s equations of the second kind, an analytical deviation modeling method for mechanisms with compliant joints are proposed and further used for statistical assembly variation analysis. The precision of this method is verified by comparing it with finite element simulation and traditional DLM. Findings A new modeling method is proposed to represent kinematic relationships between joint deformations and parts/components deviations. Based on a case evaluation, the computational efficiency is improved greatly while the modeling accuracy is maintained at more than 94% rate comparing with the benchmark finite element simulation. Originality/value The Equilibrium Equations of Incremental Forces derived from Lagrange’s equations are proposed to quantitatively represent the relationships between manufactured deviations and assembly deformations. The present method extends the application area of DLM to compliant structures, such as automobile suspension systems and some Micro-Electro-Mechanical-Systems. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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