Such techniques are successful in indirectly controlling the local stress levels by constraining the input displacement. One of the manufacturing challenges in metal powderbased 3d printing tech. 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. The presented approach uses darcys law in conjunction with a drainage term sec. Topology optimization is an important tool employed in the design of high performance structures. Although topology optimization for the synthesis of cms has been widely researched in the past decade 7 and the references. Introduction topology optimization compliant suspension conclusion definition of a mechanism a mechanism is a mechanical device used to transfer or transform motion, force or energy.
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. Shape and topology optimization for compliant mechanisms. 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. This paper presents a new approach to design both structures and compliant mechanisms loaded by designdependent pressure loads using densitybased topology optimization. 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. Topology optimization of compliant mechanisms based on the. Section 2 highlights the ability of ccms to extend the functionality of compliant mechanisms via examples of existing designs that embody the ccm concept.
Topology optimization of compliant mechanisms designed with. The method is based on continuumtype topology optimization techniques. Two methods for handling the multiple output requirements are developed, a combined virtual load method and a weighted sum of objectives method. The dof of compliant mechanisms, especially in planar compliant mechanisms, were determined using the pseudorigidbodymodel concept. This paper presents a level setbased structural shape and topology optimization for the design of compliant mechanisms. Researcharticle design of largedisplacement compliant mechanisms by topology optimization incorporating modified additive hyperelasticity technique. Stressconstrained topology optimization for compliant. Multiobjective topology optimization of a compliant. 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. Pdf shape and topology optimization of compliant mechanisms. On advancing the topology optimization technique to compliant. Topology optimization of nonlinear elastic structures and.
Topology optimization of compliant mechanisms request pdf. 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. This paper is focused on the topology design of compliant mechanisms undergoing large displacement over 20% of the structural dimension. Proceedings of the asme 2019 international design engineering technical conferences and computers and information in engineering conference. 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.
Among several techniques applied in compliant mech anisms design, topology optimization sigmund, 1997 frecker et al. Topology optimization of compliant mechanisms considering. Multimaterial topology optimization of compliant mechanisms. Topology optimization of compliant mechanisms is addressed by distribution of isotropic material in a fixed design domain. Compliant mechanisms download ebook pdf, epub, tuebl, mobi. For the topology optimization approach, the general compliant mechanism design domain is defined with applied forces, supports, and desired responses and material is systematically distributed added or removed from the space, according to the mathematics of a particular.
The aim of the present work is disclosing a model suitable to provide a new tool for the synthesis of mechanisms and structures. Topology optimization of compliant mechanisms xianmin. The weighted sum method is used to deal with the multi. The design of cms using continuum topology optimization methods is a. Early efforts can be found in 29, 208, in which the discrete topology optimization methods were used. Pdf topology optimization of compliant mechanisms with multiple. Topology optimization of compliant mechanisms with. This paper proposes and investigates two formulations to topology design of compliant mechanisms subjected to. The methodology is based on a mutual energy concept for formulation of flexibility and the homogenization method. This book provides a new topology optimization method for finding new flexure. This paper describes a topology optimization method considering. Howell and midha5 developed a pseudorigidbody model to aid in the design of compliant mechanisms composed of. The traditional density approach to topology optimization 2 is employed.
First, the objectives of the design problem are posed by modeling the output loads using several springs to enable control of the inputoutput behavior. The structural shape boundary is implicitly embedded into a higherdimensional scalar function as its. Topology optimization algorithms for additive manufacturing by. 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. In this paper, a parameterization level set method is presented to simultaneously perform shape and topology optimization of compliant mechanisms.
And sometimes the result is far always from the global optimum. One important application is the design of compliant mechanisms. Topology optimization of fluidic pressure loaded structures. On advancing the topology optimization technique to. The problem formulations and numerical solution procedures are discussed and illustrated by design examples. Topology optimization of compliant mechanisms xianmin zhang. A procedure for the topology design of compliant mechanisms with multiple output requirements is presented. Optimal synthesis of topology for compliant mechanisms asme. On the design of compliant mechanisms using topology.
American institute of aeronautics and astronautics 12700 sunrise valley drive, suite 200 reston, va 201915807 703. The design boundary of the compliant mechanism is implicitly represented as the zero levelset of a higherdimensional level set surface. That is, a compliant mechanism should be flex ible so that it can easily deform, but it should also be stiff. Download compliant mechanisms or read online books in pdf, epub, tuebl, and mobi format. In this approach, the isomorphic jacobian matrix of a 3upc u. The local optimum in topology optimization of compliant. A procedure to obtain a topology of an optimal structure considering flexibility is presented. Unlike conventional rigid body mechanisms, compliant mechanisms transform.
Topology optimization of compliant mechanisms based on the beso method a thesis submitted in fulfillment of the requirements for the degree of doctor of philosophy yan li bciveng, mconstmgmt school of civil, environmental and chemical engineering college of science engineering and health rmit university march 2014. 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. A tree structure with three levels of design concentration to categorize the cited papers is used. On the design of compliant mechanisms using topology optimization. Topology optimization of compliant mechanisms using the. 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 this respect, three multimaterial gripper, invertor, and cruncher compliant mechanisms are considered that consist of three solid phases, including polyamide, polyethylene. Design of largedisplacement compliant mechanisms by topology. 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. Pdf topology optimization of distributed compliant mechanisms. Mechanisms by topology optimization incorporating modified additive hyperelasticity technique. Topology optimization of spatially compliant mechanisms. Topology optimization of compliant mechanisms based on.
Introduction compliant mechanisms are a relatively new breed of jointless and monolithic mechanisms that gains its mobility by elastic deformation as opposed to jointed rigid body motions of conventional mechanisms, see howell 2001. The present study aims at providing a topology optimization of multimaterial compliant mechanisms using solid isotropic material with penalization simp approach. Pdf a procedure for the topology design of compliant mechanisms with multiple output requirements is presented. Compliant mechanism is the focus of active research because of the stability, robustness and ease of manufacturing endowed by their unitized construction. A second approach for designing compliant mechanisms that accounts for both the stiffness and. However, during the last decade, the design of devices with multiple materials gained popularity with the recent development of manufacturing methods. The problem formulations and numerical solution procedures are discussed and illustrated by design. A wellposed topology optimization problem is formulated by the introduction of a density measure which is embedded in the structural analysis. Traditional rigidbody mechanisms consist of rigid links connected by joints. In this project, we explore an application of compliant mechanism for vibration isolation. A series of unsolved issues in this research field are presented. A quadratic energy functional is introduced to augment the objective function in order to control the. 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. Optimal synthesis of topology for compliant mechanisms.
In applying topology optimization to design compliant mechanisms, one of the. Structural performance is assessed with respect to mechanicalgeometric advantage and stress distributions. Virginia polytechnic institute and state university. Topology optimization, compliant mechanisms, stress constraints, fatigue 1. Firstly, a framework will be introduced for the representation of a particular class of mechanisms. Design of compliant mechanisms using continuum topology. A computational design tool for compliant mechanisms siggraph 2017 presentation duration. 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 of compliant mechanisms based on interpolation meshless method and geometric nonlinearity. Topology optimization of compliant mechanisms springerlink.
This paper presents a method for topology optimization of largedeflection compliant mechanisms with multiple inputs and outputs by considering the coupling issue. Shape and topology optimization of compliant mechanisms. This method is applied to the concept to the design of compliant mechanisms. After comprehensively describing stateoftheart methods for designing compliant mechanisms, it provides a new topology optimization method for finding new flexure hinges. This dissertation explores topology optimization techniques for designing compliant mechanisms actuated by forces. Topology optimization of compliant mechanisms with multiple.
Designs due to linear and nonlinear elastic analyses are compared, and the necessity of including the nonlinear analysis is demonstrated, e. After comprehensively describing stateoftheart methods for designing compliant. Sparse monolithic compliant mechanisms using continuum. This paper presents a method for optimal design of compliant mechanism topologies. Design of functionally graded compliant mechanisms using. Design of planar largedeflection compliant mechanisms.
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. The local optimum is widespread in topology optimization of compliant mechanisms due to the nonconvex objective function. Topology optimization for synthesis of contactaided. Design of compliant mechanisms of distributed compliance. Topology optimization of compliant suspension mechanisms. Topology optimized compliant mechanisms have been widely utilized as the microdevices in microelectromechanical system. Design of planar largedeflection compliant mechanisms with. Topology optimization of compliant mechanisms designed. Pdf topology optimization of compliant mechanism design using.