Topology optimization in magnetic fields using the homogenization design method

International Journal for Numerical Methods in Engineering

Volumn 48, Issue 10, 2000, Pages 1463-1479

  Yoo, Jeonghoon ^a   Kikuchi, Noboru ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Hexahedral elements; Homogenization design method; Magnetic fields; Optimal topology

Indexed keywords

ELECTRIC NETWORK TOPOLOGY; MAGNETIC FIELDS; OPTIMIZATION; VECTORS;

MAGNETIC MEAN COMPLIANCE (MMC);

ELECTRIC MACHINERY;

EID: 0033703280     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/1097-0207(20000810)48:10<1463::AID-NME952>3.0.CO;2-5     Document Type: Article

References (14)

1. Salon SJ, Istfan B. Inverse nonlinear finite element problems. IEEE Transactions on Magnetics 1986; 22(5):817-818.
2. Istfan B, Salon SJ. Inverse nonlinear finite element problems with local and global constraints. IEEE Transactions on Magnetics 1988; 24(6):2568-2572.
3. Gitosusatro S, Coulomb JL, Sabonnadiere JC. Performance derivative calculations and optimization process. IEEE Transactions on Magnetics 1989; 25(4):2834-2839.
4. Silvester PP. Finite element solution of homogeneous waveguide problems. Alta Frequenza 1969; 38:313-317.
5. Schmit LA. Structural design by systematic synthesis. Proceedings of 2nd ASCE Conference on Electronic Computation, Pittsburgh, PA, 1960; 105-122.
6. Marrocco A, Pironneau O. Optimum design with Lagrangian finite elements; design of an electromagnet. Computer Methods in Applied Mechanics and Engineering 1978; 15:277-308.
7. Nakata T, Takahashi N. New design method of permanent magnets by using the finite element method. IEEE Transactions on Magnetics 1983; 19(6):2494-2497.
8. Bendsøe MP, Kikuchi N. Generating optimal topologies in structural design using a homogenization method. Computer Methods in Applied Mechanics and Engineering 1988; 71:197-224.
9. Suzuki K, Kikuchi N. A homogenization method for shape and topology optimization. Computer Methods in Applied Mechanics and Engineering 1991; 93: 291-318.
10. Diaz A, Kikuchi N. Solution to shape and topology eigenvalue optimization problems using a homogenization method. International Journal for Numerical Methods in Engineering 1992; 35:1487-1502.
11. Sanchez-Palencia E. Non-Homogeneous Media and Vibration Theory. Springer: Berlin, 1980.
12. Bytner S, Gambin B. Homogenization of heterogeneous elastic conductor in a magnetic field. Journal of Technical Physics 1992; 33(2):219-223.
13. Tärnhuvud T, Reichert K. Accuracy problems and torque calculation in FE-systems. IEEE Transactions on Magnetics 1988; 24(1):443-446.
14. Salon SJ. Finite Element Analysis of Electrical Machines. Kluwer Academic Publishers: Dordrecht, 1995.