Design of compliant mechanisms of distributed compliance. Topology optimization of compliant mechanisms springerlink. Pdf topology optimization of distributed compliant mechanisms. Topology optimization, compliant mechanisms, stress constraints, fatigue 1. This paper presents a new approach to design both structures and compliant mechanisms loaded by designdependent pressure loads using densitybased topology optimization. The problem formulations and numerical solution procedures are discussed and illustrated by design examples. And sometimes the result is far always from the global optimum. A tree structure with three levels of design concentration to categorize the cited papers is used. Shape and topology optimization for compliant mechanisms. Optimal synthesis of topology for compliant mechanisms. The design of cms using continuum topology optimization methods is a. A general design domain for the design of compliant mechanisms with multiple degrees of freedom using continuum topology optimization. Topology optimization of compliant mechanisms based on the. Unlike conventional rigid body mechanisms, compliant mechanisms transform.
This paper presents a method for optimal design of compliant mechanism topologies. Download compliant mechanisms or read online books in pdf, epub, tuebl, and mobi format. Traditional rigidbody mechanisms consist of rigid links connected by joints. Compliant mechanism is the focus of active research because of the stability, robustness and ease of manufacturing endowed by their unitized construction. Multimaterial topology optimization of compliant mechanisms. Topology optimization of compliant suspension mechanisms.
American institute of aeronautics and astronautics 12700 sunrise valley drive, suite 200 reston, va 201915807 703. Topology optimized compliant mechanisms have been widely utilized as the microdevices in microelectromechanical system. Compliant mechanisms redesign based on additive manufacturing and topology optimization lionel kiener, herve saudan, gerald perruchoud and johan kruis abstract the use of additive manufacturing am processes for cuttingedge applications is a constantly growing. Shape and topology optimization of compliant mechanisms. Proceedings of the asme 2019 international design engineering technical conferences and computers and information in engineering conference. In this paper, a parameterization level set method is presented to simultaneously perform shape and topology optimization of compliant mechanisms. The aim of the present work is disclosing a model suitable to provide a new tool for the synthesis of mechanisms and structures. Design of compliant mechanisms using continuum topology. The method is based on continuumtype topology optimization techniques. This paper describes a topology optimization method considering. Topology optimization of fluidic pressure loaded structures. Pdf a procedure for the topology design of compliant mechanisms with multiple output requirements is presented. Stressconstrained topology optimization for compliant. The problem formulations and numerical solution procedures are discussed and illustrated by design.
After comprehensively describing stateoftheart methods for designing compliant mechanisms, it provides a new topology optimization method for finding new flexure hinges. In this project, we explore an application of compliant mechanism for vibration isolation. On the design of compliant mechanisms using topology. The present study aims at providing a topology optimization of multimaterial compliant mechanisms using solid isotropic material with penalization simp approach. Two methods for handling the multiple output requirements are developed, a combined virtual load method and a weighted sum of objectives method. Early efforts can be found in 29, 208, in which the discrete topology optimization methods were used. Among several techniques applied in compliant mech anisms design, topology optimization sigmund, 1997 frecker et al. Topology optimization for synthesis of contactaided. This book covers various topics regarding the design of compliant mechanisms using topology optimization that have attracted a great deal of attention in recent decades. On advancing the topology optimization technique to compliant. The presented approach uses darcys law in conjunction with a drainage term sec. This method is applied to the concept to the design of compliant mechanisms.
Structural performance is assessed with respect to mechanicalgeometric advantage and stress distributions. On advancing the topology optimization technique to. In the topology optimization of structures, compliant mechanisms or materials, a densitylike function is often used for material interpolation to overcome the computational difficulties encountered in the large 01 type integer programming problem. After comprehensively describing stateoftheart methods for designing compliant. The weighted sum method is used to deal with the multi. Compliant mechanisms download ebook pdf, epub, tuebl, mobi. Topology optimization of compliant mechanisms request pdf. Topology optimization of compliant mechanisms xianmin zhang. Topology optimization of compliant mechanisms considering. Stressconstrained topology optimization for compliant mechanism design 3 that the stress constraint problem is still an open research area even for simpler nonmechanism design problems e. Based on the artificial spring model and the geometrically nonlinear finite element analysis, the optimization problem is formulated so as to maximize the output displacement under a given material volume constraint. Sparse monolithic compliant mechanisms using continuum.
On the design of compliant mechanisms using topology optimization. In applying topology optimization to design compliant mechanisms, one of the longstanding problems is that the obtained mechanisms often have highly localized compliance regions which make them. The methodology is based on a mutual energy concept for formulation of flexibility and the homogenization method. For a compliant mechanism, it has the potential of reducing part count, mechanical joints, operation noise, and manufacturing and assembly costs over a traditional rigidlink mechanism. Topology optimization algorithms for additive manufacturing by. Topology optimization is a powerful freeform design tool that couples nite ele ment analysis with mathematical programming to systematically design for any num ber of engineering problems. Topology optimization of compliant mechanisms designed with.
The local optimum is widespread in topology optimization of compliant mechanisms due to the nonconvex objective function. Topology optimization of compliant mechanisms is addressed by distribution of isotropic material in a fixed design domain. A series of unsolved issues in this research field are presented. In this respect, three multimaterial gripper, invertor, and cruncher compliant mechanisms are considered that consist of three solid phases, including polyamide, polyethylene. Firstly, a framework will be introduced for the representation of a particular class of mechanisms. The method is based on continuumtype topology optimization techniques and finds the optimal compliant mechanism topology within a given design domain and a given position and direction of input and output forces. A broad compilation of compliant mechanisms to give inspiration and guidance to those interested in using compliant mechanisms in their designs, the handbook of compliant mechanisms includes graphics and descriptions of many compliant mechanisms. However, during the last decade, the design of devices with multiple materials gained popularity with the recent development of manufacturing methods. Topology optimization of compliant mechanisms xianmin. Introduction a compliant mechanism 1 is a relatively new breed of mechanical device that achieves at least some of its mobility from the flexibility of its structural members in. Reliabilitybased or robust topology optimization of compliant mechanisms it has been widely recognized that, in the structural optimization, the stochastic effects need to be taken into account in order to obtain a costeffective design for the duration of its lifetime 253, 254, 255. A procedure to obtain a topology of an optimal structure considering flexibility is presented. Although topology optimization for the synthesis of cms has been widely researched in the past decade 7 and the references. Multiobjective topology optimization of a compliant.
A wellposed topology optimization problem is formulated by the introduction of a density measure which is embedded in the structural analysis. The dof of compliant mechanisms, especially in planar compliant mechanisms, were determined using the pseudorigidbodymodel concept. Topology optimization of spatially compliant mechanisms. Optimal synthesis of topology for compliant mechanisms asme. A second approach for designing compliant mechanisms that accounts for both the stiffness and.
A novel topology optimization approach is proposed in this paper for the design of three rotational degreeoffreedom dof spatially compliant mechanisms, combining the jacobian isomorphic mapping matrix with the solid isotropic material with penalization simp topological method. This paper is focused on the topology design of compliant mechanisms undergoing large displacement over 20% of the structural dimension. Pdf topology optimization of compliant mechanism design using. A computational design tool for compliant mechanisms siggraph 2017 presentation duration. To the best of our knowledge, stressconstrained mechanism design formulations have only. Topology optimization is an important tool employed in the design of high performance structures.
The local optimum in topology optimization of compliant. For the compliant mechanisms, there is no apparent boundary to identify the degreesoffreedom dof or the degreesofconstraint doc due to complex issues such as dimension, loads and motion range. Design of planar largedeflection compliant mechanisms. Design of largedisplacement compliant mechanisms by. In this approach, the isomorphic jacobian matrix of a 3upc u. Design of functionally graded compliant mechanisms using. This book provides a new topology optimization method for finding new flexure. This paper presents a level setbased structural shape and topology optimization for the design of compliant mechanisms. Topology optimization of compliant mechanisms based on interpolation meshless method and geometric nonlinearity. Design of planar largedeflection compliant mechanisms with. Pdf shape and topology optimization of compliant mechanisms.
A procedure for the topology design of compliant mechanisms with multiple output requirements is presented. Such techniques are successful in indirectly controlling the local stress levels by constraining the input displacement. That is, a compliant mechanism should be flex ible so that it can easily deform, but it should also be stiff. Compliant mechanisms zwhat is a compliant mechanism. Mechanisms by topology optimization incorporating modified additive hyperelasticity technique. This paper presents a method for topology optimization of largedeflection compliant mechanisms with multiple inputs and outputs by considering the coupling issue. Topology optimization of compliant mechanisms with.
Virginia polytechnic institute and state university. First, the objectives of the design problem are posed by modeling the output loads using several springs to enable control of the inputoutput behavior. This research applies topology optimization to create feasible functionally graded complaint mechanism designs with the aim of improving structural performance compared to traditional homogeneous compliant mechanism designs. One important application is the design of compliant mechanisms.
Pdf topology optimization of compliant mechanisms with multiple. This paper proposes and investigates two formulations to topology design of compliant mechanisms subjected to. Topology optimization of compliant mechanisms using the. A fully illustrated reference book giving an easytounderstand introduction to compliant mechanisms. The most widely studied compliant mechanisms by means of topology optimization techniques are singlematerial devices. Designs due to linear and nonlinear elastic analyses are compared, and the necessity of including the nonlinear analysis is demonstrated, e. Researcharticle design of largedisplacement compliant mechanisms by topology optimization incorporating modified additive hyperelasticity technique. A quadratic energy functional is introduced to augment the objective function in order to control the. Design of largedisplacement compliant mechanisms by topology. Howell and midha5 developed a pseudorigidbody model to aid in the design of compliant mechanisms composed of.
After comprehensively describing stateoftheart methods for designing compliant mechanisms, it provides a new topology optimization method for finding new. Compliant mechanism via topology optimization youtube. In applying topology optimization to design compliant mechanisms, one of the. One of the manufacturing challenges in metal powderbased 3d printing tech. Topology optimization of compliant mechanisms based on. This dissertation explores topology optimization techniques for designing compliant mechanisms actuated by forces. Topology optimization of compliant mechanisms with multiple. The design boundary of the compliant mechanism is implicitly represented as the zero levelset of a higherdimensional level set surface.
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