multimaterial geometric design theories and their applications · their applications ... ph.d....
TRANSCRIPT
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Multimaterial Geometric Design Theories and
their Applications
Hong Zhou , Ph.D.
Associate Professor
Department of Mechanical Engineering
Texas A&M University-Kingsville
October 19, 2011
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Contents
Introduction
Motivation and Objective
Multilayer Wide Curves
General Constraints of Multilayer Wide Curves
Multimaterial Geometric Modeling
Multimaterial Geometric Design
Multimaterial Design Examples
Conclusions
References
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Introduction
Topology Design
• Decide the connection relationships
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Introduction
Shape Design
• Decide the shape related parameters.
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Introduction
Size Design
• Decide the size related parameters.
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Introduction
Multimaterial Components
• Enhance the performance of single-material
components by adding a new design option,
material type variation.
Multimaterial Design
• Decide the topology, shape and size of every
involved material in a multimaterial component.
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Introduction
Multimaterial Design
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Introduction
Challenges for Multimaterial Design
• Effective geometric modeling of the multiple
materials involved in a multimaterial component.
• Efficient design method of multimaterial
components.
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Motivation and Objective
• Introducing an effective geometric modeling
method of multimaterial components by using
multilayer wide curves.
• Establishing an efficient geometric design method
for multimaterial components based on the desired
functions.
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Multilayer Wide Curves
Parametric Curves (Bezier, B-Spline or NURBS)
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Multilayer Wide Curves
Planar Wide Curve
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Multilayer Wide Curves
Planar Multilayer Wide Curve
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Multilayer Wide Curves
Planar Multilayer Wide Curve
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Multilayer Wide Curves
Planar Multilayer Wide Curve
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Multilayer Wide Curves
Spatial Wide Curve
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Multilayer Wide Curves
Spatial Multilayer Wide Curve
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Multilayer Wide Curves
Spatial Multilayer Wide Curve
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Multilayer Wide Curves
Spatial Multilayer Wide Curve
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The Constraints for Planar Wide Curves
The General Constraints
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The Constraints for Planar Wide Curves
The General Constraints
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The Constraints for Spatial Wide Curves
The General Constraints
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The Constraints for Spatial Wide Curves
The General Constraints
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The Constraints for Spatial Wide Curves
The General Constraints
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The Constraints for Spatial Wide Curves
The General Constraints
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The Constraints for Spatial Wide Curves
The General Constraints
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The Constraints for Spatial Wide Curves
The General Constraints
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Multimaterial Geometric Modeling
• Represent each multimaterial branch by a
multilayer wide curve
• Model a multimaterial component by a set of
multilayer wide curves
• Control the geometry of a multimaterial
component by the control parameters of the
corresponding multilayer wide curves
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Multimaterial Geometric Design
• Use finite element analysis to know the
performance of a multimaterial component
• Optimize the control parameters to design a
multimaterial component
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Multimaterial Design Examples
Cantilevered Beam Structure
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Multimaterial Design Examples
Cantilevered Beam Structure
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Multimaterial Design Examples
Cantilevered Beam Structure
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Multimaterial Design Examples
Cantilevered Beam Structure
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Multimaterial Design Examples
Cantilevered Beam Structure
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Multimaterial Design Examples
Cantilevered Beam Structure
![Page 35: Multimaterial Geometric Design Theories and their Applications · their Applications ... Ph.D. Associate Professor Department of Mechanical Engineering Texas A&M University-Kingsville](https://reader030.vdocuments.site/reader030/viewer/2022040721/5e2f28250c91e4607222f139/html5/thumbnails/35.jpg)
Multimaterial Design Examples
Cantilevered Beam Structure
![Page 36: Multimaterial Geometric Design Theories and their Applications · their Applications ... Ph.D. Associate Professor Department of Mechanical Engineering Texas A&M University-Kingsville](https://reader030.vdocuments.site/reader030/viewer/2022040721/5e2f28250c91e4607222f139/html5/thumbnails/36.jpg)
Multimaterial Design Examples
Cantilevered Beam Structure
![Page 37: Multimaterial Geometric Design Theories and their Applications · their Applications ... Ph.D. Associate Professor Department of Mechanical Engineering Texas A&M University-Kingsville](https://reader030.vdocuments.site/reader030/viewer/2022040721/5e2f28250c91e4607222f139/html5/thumbnails/37.jpg)
Multimaterial Design Examples
Cantilevered Beam Structure
![Page 38: Multimaterial Geometric Design Theories and their Applications · their Applications ... Ph.D. Associate Professor Department of Mechanical Engineering Texas A&M University-Kingsville](https://reader030.vdocuments.site/reader030/viewer/2022040721/5e2f28250c91e4607222f139/html5/thumbnails/38.jpg)
Multimaterial Design Examples
Cantilevered Beam Structure
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Multimaterial Design Examples
Compliant Gripping Mechanism
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Multimaterial Design Examples
Compliant Gripping Mechanism
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Multimaterial Design Examples
Compliant Gripping Mechanism
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Multimaterial Design Examples
Compliant Gripping Mechanism
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Multimaterial Design Examples
Compliant Gripping Mechanism
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Multimaterial Design Examples
Compliant Gripping Mechanism
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Multimaterial Design Examples
Compliant Gripping Mechanism
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Multimaterial Design Examples
Compliant Gripping Mechanism
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Multimaterial Design Examples
Compliant Gripping Mechanism
![Page 48: Multimaterial Geometric Design Theories and their Applications · their Applications ... Ph.D. Associate Professor Department of Mechanical Engineering Texas A&M University-Kingsville](https://reader030.vdocuments.site/reader030/viewer/2022040721/5e2f28250c91e4607222f139/html5/thumbnails/48.jpg)
Multimaterial Design Examples
Compliant Gripping Mechanism
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Conclusions
• Multilayer wide curves are introduced.
• The general constraints of wide curves are established.
• Multilayer wide curves are used to model multimaterial components.
• The geometric design of a multimaterial component is formulated as the optimization of the control parameters of the corresponding multilayer wide curves.
• The proposed modeling and designing methods have been successfully applied to some examples.
• These methods are expected to be applied in other areas.
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References
• Zhou, H., Ting, K. L., Geometric Modeling and Synthesis of Spatial Multi-Material Compliant Mechanisms and Structures Using Three-Dimensional Multi-Layer Wide Curves, ASME Journal of Mechanical Design, Vol. 131, No. 1, 2009.
• Zhou, H., Ting, K. L., Geometric Modeling and Optimization of Multi-Material Compliant Mechanisms Using Multi-Layer Wide Curves, ASME Journal of Mechanical Design, Vol. 130, No. 6, 2008.