1-3 of 3
Keywords: Laplace equation
Close
Save search
Follow your search
Access your saved searches in your account
Would you like to receive an alert when new items match your search?
Close Modal
Sort by
Proceedings Papers

Conformal Topology Optimization of Heat Conduction Problems on Manifolds Using an Extended Level Set Method (X-LSM)

Available to Purchase

Xiaoqiang Xu, Shikui Chen, Xianfeng David Gu, Michael Yu Wang
Proc. ASME. IDETC-CIE2021, Volume 3B: 47th Design Automation Conference (DAC), V03BT03A030, August 17–19, 2021
Publisher: American Society of Mechanical Engineers
Paper No: DETC2021-67819
https://doi.org/10.1115/DETC2021-67819
... Abstract In this paper, the authors propose a new dimension reduction method for level-set-based topology optimization of conforming thermal structures on free-form surfaces. Both the Hamilton-Jacobi equation and the Laplace equation, which are the two governing PDEs for boundary evolution...
View Paper titled, Conformal Topology Optimization of Heat Conduction Problems on Manifolds Using an Extended Level Set Method (X-LSM)
Open the PDF for Conformal Topology Optimization of Heat Conduction Problems on Manifolds Using an Extended Level Set Method (X-LSM) in another window
Topics: Heat conduction, Laplace equations, Manifolds, Optimization, Topology
Proceedings Papers

A Study on Optimum Topology Using Conformal Mapping

Available to Purchase

Satoshi Kitayama, Hiroshi Yamakawa
Proc. ASME. IDETC-CIE2000, Volume 2: 26th Design Automation Conference, 737-742, September 10–13, 2000
Publisher: American Society of Mechanical Engineers
Paper No: DETC2000/DAC-14535
https://doi.org/10.1115/DETC2000/DAC-14535
... transformation. We show that two invariants of stress can satisfy the Laplace equation, and then we clarify that corresponding relationships between fluid mechanics and electromagnetics can also be valid in the theory of elasticity. Then, presented a method to obtain optimum topologies is easier than...
View Paper titled, A Study on Optimum Topology Using Conformal Mapping
Open the PDF for A Study on Optimum Topology Using Conformal Mapping in another window
Topics: Laplace equations, Stress, Topology, Elasticity, Electromagnetic force, Electromagnetism, Fluid mechanics
Proceedings Papers

A Study on Optimum Topology of Plate Structure Using Coordinate Transformation by Conformal Mapping

Available to Purchase

Satoshi Kitayama, Hiroshi Yamakawa
Proc. ASME. IDETC-CIE2002, Volume 2: 28th Design Automation Conference, 169-174, September 29–October 2, 2002
Publisher: American Society of Mechanical Engineers
Paper No: DETC2002/DAC-34053
https://doi.org/10.1115/DETC2002/DAC-34053
... Coordinate Transformation Conformal Mapping Optimum Topology Laplace Equation This paper presents a new method to determine an optimum topology of plate structure using coordinate transformation by conformal mapping. We have already proposed a method to determine an optimum topology...
View Paper titled, A Study on Optimum Topology of Plate Structure Using Coordinate Transformation by Conformal Mapping
Open the PDF for A Study on Optimum Topology of Plate Structure Using Coordinate Transformation by Conformal Mapping in another window
Topics: Laplace equations, Plates (structures), Topology