2003 Fiscal Year Final Research Report Summary
Simultaneous Optimization of Structural Topology and Control and Its Applications to the Design of Compliant Mechanisms
| Project/Area Number |
14550209
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Dynamics/Control
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| Research Institution | Tohoku University |
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Principal Investigator |
QIU Jinhao Tohoku University, Institute of Fluid Science, Professor, 流体科学研究所, 教授 (60241585)
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| Co-Investigator(Kenkyū-buntansha) |
ZHANG Wenfeng Tohoku University, Institute of Fluid Science, Assistant, 流体科学研究所, 助手 (80361195)
TANI Junji Tohoku University, Institute of Fluid Science, Professor, 流体科学研究所, 教授 (30006192)
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| Project Period (FY) |
2002 – 2003
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| Keywords | Simultaneous optimization / Structural design / Compliant mechanism / Structural topology / Optimal control / Vibration control |
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| Research Abstract |
The modeling and formulization of the simultaneous optimization of structural topology and controllers for active compliant mechanism, including the selection of control approach, objective function design parameters and constraints, were carried out. The H_2 or H_∞ norm of the transfer function for the disturbance input to the performance output of a closed system was used as a unified objective function for both structural and controller designs and the simultaneous optimization problem is converted to a nonlinear programming problem of the objective function with respect to the structural and controller parameters of the systems.
The nonlinear programming problem was solved with a new approach, developed by the applicants and named as "nested approach". In the nested approach, the structural optimization is performed in the main process and the controller is designed in a nested sub process where the controller is updated whenever a new set of structural parameters are designed. Sinc
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e the structural design parameters and controller design parameters are calculated separately, the existing optimization approaches for both structures and controllers can be used without modifications.
The developed approach was used in the design of an elastic wall of an enclosure, which was used as an actuator, for the purpose of noise suppression inside it. After simultaneous optimal design of the structure and controller, the natural frequencies of the wall were shifted so that the noise inside the enclosure can be effectively suppressed.
It is known that the topology optimization suffers from the numerical problems such as checkerboards and mesh-dependence. Thus to obtain clear and manufacturable topology, the popular techniques in the topology optimization area including penalization, filtering and perimeter restriction are also employed ^<(12)>. The improved method was used in the simultaneous optimal design of the topology of cantilever plate and its controller. The results show that the closed-loop responses are improved significantly by the simultaneous topology-control optimization. Less
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