Synthesis of Bistable Periodic Structures Using Topology Optimization and a Genetic Algorithm

Prasad, Jitendra; Diaz, Alfredo Peña

doi:10.1115/detc2005-84904

Cited by 14 publications

(12 citation statements)

References 20 publications

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“…Common approach in GAs, for a termination criterion, is to set a limit on the number of fitness evaluation, that is, when the maximum number of generations is reached, the optimization stops (Prasad and Diaz, 2006;Reeves and Rowe, 2002;Saxena, 2005). Other approaches include stopping the algorithm:…”

Section: Resultsmentioning

confidence: 99%

“…In these cases, another set of algorithms is often favored. These are evolutionary algorithms that perform global search over a large design space, of which the most commonly used in topology synthesis are GAs (Parsons and Canfield, 2002;Prasad and Diaz, 2006;Saxena, 2005;Trease and Kota, 2009). When the optimization procedure converges, some elements will be removed from the original exhaustive set and some will be selected as actuators.…”

Section: Synthesis Methodologymentioning

confidence: 99%

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Development of a new adaptive shape morphing compliant structure with embedded actuators

Milojević

Pavlović

2015

Journal of Intelligent Material Systems and Structures

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By embedding actuators within a compliant structure (compliant mechanism), it is possible to develop adaptive system, that is, a shape morphing structure that is capable of producing many different shapes of its output surface. Such structures are of interest for a number of applications. This article presents the new solution of adaptive shape morphing compliant structure with embedded actuators that is capable of changing its shape on demand to meet various performance requirements; the physical prototype of this structure is manufactured. Upgraded approach to the synthesis of compliant mechanisms with embedded actuators is also presented. The existing design methodology for simultaneous synthesis of compliant mechanism and actuator placement often produces compliant system with intersecting structural elements as well as actuators which is very difficult to manufacture. Thus, the design methodology is improved so that compliant systems are obtained without intersecting elements. The scalability of the shape morphing compliant structure is investigated as well. Two possible applications of the novel developed shape morphing structure are presented, for adaptive compliant gripper and shape morphing wing that resembles the profile of a bird wing.

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Section: Resultsmentioning

confidence: 99%

Section: Synthesis Methodologymentioning

confidence: 99%

Development of a new adaptive shape morphing compliant structure with embedded actuators

Milojević

Pavlović

2015

Journal of Intelligent Material Systems and Structures

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“…Negative stiffness materials are realizable. A typical way to implement negative stiffness is through the use of bistable structures, positioned in their unstable configuration and held there by surrounding, stable material (see [5]). In [4,6,7] the authors show how lumped structures can be used to implement negative stiffness inclusions.…”

Section: Two Phase Composite Materialsmentioning

confidence: 99%

A Concept for a Material That Softens With Frequency

Prasad

Diaz

2008

Journal of Mechanical Design

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This work presents design concepts to synthesize composite materials with special dynamic properties, namely, materials that soften at high frequencies. Such dynamic properties are achieved through the use of a two-phase material that has inclusions of a viscoelastic material of negative elastic modulus in a typical matrix phase that has a positive elastic modulus. A possible realization of the negative-stiffness inclusion phase is presented. A numerical homogenization technique is used to compute the average viscoelastic properties of the composite. The method and the properties of a composite material designed with it are demonstrated through an example.

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“…However, this approach results in partially compliant mechanism with lumped compliance. The topology optimization approach, using either a continuum modeling, for example, homogenization method , solid isotropic material with penalization method , level set method , and so on, combined with finite element analysis or a discrete modeling represented by a network of slender members; for example, beams is regarded as a material distribution method and has the advantage of results in fully compliant mechanisms, which are the desired solutions when lower stress concentration is the main requirement .…”

Section: Introductionmentioning

confidence: 99%

A new level set method for topology optimization of distributed compliant mechanisms

Zhu

Zhang

2012

Numerical Meth Engineering

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A new level set method for topology optimization of distributed compliant mechanism is presented in this study. By taking two types of mean compliance into consideration, several new objective functions are developed and built in the conventional level set method to avoid generating the de facto hinges in the created mechanisms. Aimed at eliminating the costly reinitialization procedure during the evolution of the level set function, an accelerated level set evolution algorithm is developed by adding an extra energy function, which can force the level set function to close to a signed distance function during the evolution. Two widely studied numerical examples in topology optimization of compliant mechanisms are studied to demonstrate the effectiveness of the proposed method. Figure 3. The schematic of the dummy load method: (a) input unit dummy load, and (b) output unit dummy load.Figure 7. The intermediate designs of the displacement inverter using Q1: (a) step 1, (b) step 50, (c) step 100, (d) step 200, (e) step 350, and (f) step 450.Case 1 in Table I shows that, by setting˛to be quite large andˇto be 0, that is, ignoring the influence of the second type of the mean compliance, a structure that only connects the fixed area with input port A can be obtained. On the contrary, by setting˛to be 0 andˇto be quite large, that is, ignoring the influence of the first type of the mean compliance, a structure that only connects the fixed area with output port B can be obtained. Those are the results that have the structural configuration but cannot accomplish the kinematic performance, that is, the GA is almost 0, and the created mechanism is far beyond the widely recognized one.

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Synthesis of Bistable Periodic Structures Using Topology Optimization and a Genetic Algorithm

Cited by 14 publications

References 20 publications

Development of a new adaptive shape morphing compliant structure with embedded actuators

Development of a new adaptive shape morphing compliant structure with embedded actuators

A Concept for a Material That Softens With Frequency

A new level set method for topology optimization of distributed compliant mechanisms

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