Multimaterial Geometric Design Theories and their Applications
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1 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
2 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
3 Introduction Topology Design Decide the connection relationships
4 Introduction Shape Design Decide the shape related parameters.
5 Introduction Size Design Decide the size related parameters.
6 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.
7 Introduction Multimaterial Design
8 Introduction Challenges for Multimaterial Design Effective geometric modeling of the multiple materials involved in a multimaterial component. Efficient design method of multimaterial components.
9 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.
10 Multilayer Wide Curves Parametric Curves (Bezier, B-Spline or NURBS)
11 Multilayer Wide Curves Planar Wide Curve
12 Multilayer Wide Curves Planar Multilayer Wide Curve
13 Multilayer Wide Curves Planar Multilayer Wide Curve
14 Multilayer Wide Curves Planar Multilayer Wide Curve
15 Multilayer Wide Curves Spatial Wide Curve
16 Multilayer Wide Curves Spatial Multilayer Wide Curve
17 Multilayer Wide Curves Spatial Multilayer Wide Curve
18 Multilayer Wide Curves Spatial Multilayer Wide Curve
19 The General Constraints The Constraints for Planar Wide Curves
20 The General Constraints The Constraints for Planar Wide Curves
21 The General Constraints The Constraints for Spatial Wide Curves
22 The General Constraints The Constraints for Spatial Wide Curves
23 The General Constraints The Constraints for Spatial Wide Curves
24 The General Constraints The Constraints for Spatial Wide Curves
25 The General Constraints The Constraints for Spatial Wide Curves
26 The General Constraints The Constraints for Spatial Wide Curves
27 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
28 Multimaterial Geometric Design Use finite element analysis to know the performance of a multimaterial component Optimize the control parameters to design a multimaterial component
29 Multimaterial Design Examples Cantilevered Beam Structure
30 Multimaterial Design Examples Cantilevered Beam Structure
31 Multimaterial Design Examples Cantilevered Beam Structure
32 Multimaterial Design Examples Cantilevered Beam Structure
33 Multimaterial Design Examples Cantilevered Beam Structure
34 Multimaterial Design Examples Cantilevered Beam Structure
35 Multimaterial Design Examples Cantilevered Beam Structure
36 Multimaterial Design Examples Cantilevered Beam Structure
37 Multimaterial Design Examples Cantilevered Beam Structure
38 Multimaterial Design Examples Cantilevered Beam Structure
39 Multimaterial Design Examples Compliant Gripping Mechanism
40 Multimaterial Design Examples Compliant Gripping Mechanism
41 Multimaterial Design Examples Compliant Gripping Mechanism
42 Multimaterial Design Examples Compliant Gripping Mechanism
43 Multimaterial Design Examples Compliant Gripping Mechanism
44 Multimaterial Design Examples Compliant Gripping Mechanism
45 Multimaterial Design Examples Compliant Gripping Mechanism
46 Multimaterial Design Examples Compliant Gripping Mechanism
47 Multimaterial Design Examples Compliant Gripping Mechanism
48 Multimaterial Design Examples Compliant Gripping Mechanism
49 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.
50 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, 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.
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