Topology optimization for synthesis of contact-aided compliant mechanisms using regularized contact modeling

Mankame, Nilesh D.; Ananthasuresh, G. K.

doi:10.1016/j.compstruc.2004.02.024

Cited by 72 publications

(31 citation statements)

References 39 publications

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“…Many different extensions of these formulations and other approaches have been developed by various researchers, and are too numerous to cite all of them here. Some examples include approaches accounting for large deformations [4,8], material nonlinearity [18], dynamic applications [7,19], selfcontact [20][21][22][23], and manufacturing considerations [24]. The reader is referred to the sources in the list of references at the end of this chapter for additional reading on these and other approaches.…”

Section: Discussionmentioning

confidence: 99%

Synthesis through Topology Optimization

Frecker

2013

Handbook of Compliant Mechanisms

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This chapter describes an approach for synthesizing compliant mechanisms that uses topology optimization to meet particular functional needs. Topology optimization techniques are especially useful when the designer does not have a particular compliant mechanism already in mind. This approach can also be used to augment intuitionbased or experience-based compliant mechanism designs. Topology optimization can result in novel solutions that the designer might not have arrived at by means such as converting a known rigid-link mechanism to a compliant mechanism. It is intended to predict the best topology, or material connectivity in a compliant structure, for a particular compliant mechanism design problem. Topology optimization is widely used in a variety of structural design problems; the discussion here is focused on topology synthesis of compliant mechanisms. What is Topology Optimization?Topology is defined as the pattern of connectivity or spatial sequence of members or elements in a structure. The allowable space for the design in a topology optimization problem is called the design domain. The topology is defined by the distribution of material and void within the design domain (Figure 7.1). Nondesign elements (solid or void) can be specified and are not changed by the optimizer. For example, the designer may require that a certain portion of the design domain remain empty; this region would be specified as void nondesign.

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Section: Discussionmentioning

confidence: 99%

Synthesis through Topology Optimization

Frecker

2013

Handbook of Compliant Mechanisms

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“…As m approaches infinity, it perfectly models the step function. 6 Under low compressive loads, the displacement term z is quite small compared to δ 0 and therefore the contact stiffness is nearly zero. As the compression distance reaches δ 0 , the function tends to γ, which is much greater than the original stiffness.…”

Section: Contact-enabled Simp Approachmentioning

confidence: 99%

Topology Design of Compliant Cellular Structures with Contact-Enabled, Graded Stiffness

Gupta¹,

Seepersad²

2008

49th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference &Amp;lt;br> 16th AIAA/ASME/AHS Ada

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A topology design method is presented for customizing cellular or lightweight structures with contact-enabled, graded stiffness. Structures with graded structural stiffness exhibit increasing stiffness with the magnitude of applied structural loads. In this work, stiffening is achieved via internal contact within the cellular structure. A continuum-based topology optimization approach is presented for tailoring cellular topologies with customized stiffness profiles that can be achieved only with internal contact. As part of the approach, contact behavior is modeled with an exponential function that gradually stiffens individual elements as contact begins to occur. Nonlinear finite element analysis is performed with a Newton Raphson procedure. The design problem is formulated to achieve targeted stiffness profiles at specified locations in the cellular structure. The resulting approach is capable of designing cellular topology with freeform, internal contact surfaces that emerge as the topology evolves.

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“…A more recent work is Fancello [8]. Another recent work is Mankame and Ananthasuresh [9], where compliant mechanisms were generated by including contact conditions.…”

Section: Introductionmentioning

confidence: 99%

Topology optimization of structures in unilateral contact

Strömberg

Klarbring

2009

Struct Multidisc Optim

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In this paper a general framework for topology optimization of structures in unilateral contact is developed. A linear elastic structure that is unilaterally constrained by rigid supports is considered. The supports are modeled by Signorini's contact conditions which in turn are treated by the augmented Lagrangian approach as well as by a smooth approximation. The latter approximation must not be confused with the well-known penalty approach. The state of the system, which is defined by the equilibrium equation and the two different contact formulations, is solved by a Newton method. The design parametrization is obtained by using the SIMP-model. The minimization of compliance for a limited value of volume is considered. The optimization problems are solved by SLP. This is done by using a nested approach where the state equations are linearized and sensitivities are calculated by the adjoint method. In order to avoid meshdependency the sensitivities are filtered by Sigmund's filter. The final LP-problem is solved by an interior point method that is 1 available in Matlab. The implementation is done for a general design domain in 2D as well as in 3D by using fully integrated isoparametric elements. The implementation seems to be very efficient and robust.

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Topology optimization for synthesis of contact-aided compliant mechanisms using regularized contact modeling

Cited by 72 publications

References 39 publications

Synthesis through Topology Optimization

Synthesis through Topology Optimization

Topology Design of Compliant Cellular Structures with Contact-Enabled, Graded Stiffness

Topology optimization of structures in unilateral contact

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