Topology Optimization of Thermally Actuated Compliant Mechanisms Using Node Design Variables
The topology optimization method of thermally actuated compliant mechanisms using node design variables method is presented. The projection function within defined sub-domain is used to represent the relationship of node design variables and node density
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Abstract The topology optimization method of thermally actuated compliant mechanisms using node design variables method is presented. The projection function within defined sub-domain is used to represent the relationship of node design variables and node density variables in the method. It can impose the minimum length scale control during topological design. The topology optimization model of thermally actuated compliant mechanism is established by maximizing the output displacement and restricting the structure volume. The adjoint approach is applied to perform the design sensitivity analysis, and the method of moving asymptotes is adopted to solve the topology optimization problem. The numerical examples are presented to show that the proposed method can avoided the de facto hinges in the obtained thermally actuated compliant mechanism. Keywords Compliant mechanisms Node design variables
Thermal loads Topology optimization
1 Introduction Compliant mechanisms can transmit force and motion through its elastic deformation of flexible member [1–3]. It has many advantages such as a simple structure, simplified manufacture processes, reduced friction, reduced assembly time, high
J. Zhan (&) L. Long Z. Huang School of Mechatronics and Vehicle Engineering, East China Jiaotong University, Nanchang 330013, China e-mail: [email protected] L. Long e-mail: [email protected] Z. Huang e-mail: [email protected] © Springer Nature Singapore Pte Ltd. 2017 X. Zhang et al. (eds.), Mechanism and Machine Science, Lecture Notes in Electrical Engineering 408, DOI 10.1007/978-981-10-2875-5_55
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precision, high reliability, light weight and miniaturization. It has been widely used in biological engineering micromanipulation, micro-electro-mechanical systems and optical fiber alignment. Topological design of compliant mechanisms only needs to specify design domain and the input and output position, without a known rigid-link mechanism. Thus, the method has drawn more and more attentions. In recent years, topology optimization of compliant mechanisms applied input force have been made great development. Topology optimization of thermally actuated compliant mechanisms becomes one of the research hotspots due to their good controllability [4]. The topology optimization method has been used to electro-thermo-mechanical actuators with geometrical nonlinearities including multiple materials [5]. Yin [6] presented a new material interpolation scheme for topology optimization problem of electro-thermally actuated compliant micro-mechanisms. Du [7] suggested a new topology optimization method which the element-free method is applied to design thermally actuated compliant mechanisms with geometrical nonlinearities. Luo [8] used level set methods to perform shape and topology optimization of electro-thermally actuated compliant mechanisms. Ansola [9, 10] integrated an additive strategy to evolutionary optimization method for topological design of thermally actuated compliant mechanisms including uniform and non-uniform t
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