1 Ueha, S., "Ultrasonic Motors-Theory and Applications, In Monographs in Electrical and Electronic Engineering, 29" Clarendon Press 1993
2 Bendsoe, M. P., "Topology optimization: theory, methods and applications" Springer 2003
3 Kogl, M., "Topology optimization of smart structures : design of piezoelectric plate and shell actuators" 14 (14): 387-399, 2005
4 Kang, Zh., "Topology optimization of bending actuators with multilayer piezoelectric Material" 19 : 075018-, 2010
5 Silva, E. C. N., "Topology optimization applied to the design of linear piezoelectric motors" 14 (14): 309-322, 2003
6 Liu, G. R., "Theoretical aspects of the smoothed finite element method(SFEM)" 71 (71): 902-930, 2007
7 Choi, K. K., "Structural sensitivity analysis and optimization" Springer Science and Business Media, Inc. 2005
8 Bordas, S. P. A., "Strain smoothing in FEM and XFEM" 88 (88): 1419-1443, 2010
9 Sze, K. Y., "Stabilized plane and axisymmetric piezoelectric finite element models" 40 (40): 1105-1122, 2004
10 Liu, G. R., "Smoothed finite element methods" CRC press, Taylor and Francis group 2010
1 Ueha, S., "Ultrasonic Motors-Theory and Applications, In Monographs in Electrical and Electronic Engineering, 29" Clarendon Press 1993
2 Bendsoe, M. P., "Topology optimization: theory, methods and applications" Springer 2003
3 Kogl, M., "Topology optimization of smart structures : design of piezoelectric plate and shell actuators" 14 (14): 387-399, 2005
4 Kang, Zh., "Topology optimization of bending actuators with multilayer piezoelectric Material" 19 : 075018-, 2010
5 Silva, E. C. N., "Topology optimization applied to the design of linear piezoelectric motors" 14 (14): 309-322, 2003
6 Liu, G. R., "Theoretical aspects of the smoothed finite element method(SFEM)" 71 (71): 902-930, 2007
7 Choi, K. K., "Structural sensitivity analysis and optimization" Springer Science and Business Media, Inc. 2005
8 Bordas, S. P. A., "Strain smoothing in FEM and XFEM" 88 (88): 1419-1443, 2010
9 Sze, K. Y., "Stabilized plane and axisymmetric piezoelectric finite element models" 40 (40): 1105-1122, 2004
10 Liu, G. R., "Smoothed finite element methods" CRC press, Taylor and Francis group 2010
11 Sadeghbeigi Olyaie, M., "Reliability based topology optimization of a linear piezoelectric micromotor using the cell-based smoothed finite element method" 75 (75): 43-88, 2011
12 Long, C. S., "Planar four node piezoelectric with drilling degrees of freedom" 65 (65): 1802-1830, 2006
13 Donoso, A., "Optimization of piezoelectric bimorph actuators with active damping for static and dynamic loads" 38 (38): 171-183, 2009
14 Bendsoe, M. P., "Optimal shape design as a material distribution problem" 1 (1): 193-202, 1989
15 Sigmund, O., "On the design of compliant mechanisms using topology optimization" 25 (25): 495-526, 1997
16 Begg, D. W., "On simultaneous optimization of smart structures-Part II : algorithms and examples" 184 (184): 25-37, 2000
17 김재은, "Multi-physics interpolation for the topology optimization of piezoelectric systems" Elsevier BV 199 (199): 3153-3168, 2010
18 Svanberg, K., "Method of moving asymptotes-a new method for structural optimization" 24 (24): 359-373, 1987
19 Ohs, R. R., "Meshless analysis of piezoelectric devices" 27 (27): 23-36, 2001
20 Bendsoe, M. P., "Material interpolations in topology optimization" 69 (69): 635-654, 1999
21 Arora, J. S., "Introduction to optimum design. 2nd edition" Elsevier academic press 2004
22 Bendsoe, M. P., "Generating optimal topologies in structural design using a homogenization method" 71 (71): 197-224, 1988
23 Rozvany, G., "Generalized shape optimization without homogenization" 4 (4): 250-254, 1992
24 Allik, H., "Finite element method for piezo-electric vibration" 2 (2): 151-157, 1970
25 Carbonari, R. C., "Experimental and numerical characterization of piezoelectric mechanisms designed using topology optimization" 2 : 425-432, 2006
26 Huang, X., "Evolutionary Topology Optimization of Continuum Structures Methods and Applications" John Wiley and Sons Ltd 2010
27 Carbonari, R. C., "Design of piezoelectric multi-actuated microtools using topology optimization" 14 (14): 1431-1447, 2005
28 Silva, R. C. N., "Design of piezocomposite materials and piezoelectric transducers using topology optimization-part III" 6 (6): 305-329, 1999
29 Sigmund, O., "Design of Material Structures Using Topology Optimization" Technical University of Denmark 1994
30 Chang, S. J., "Analysis of methods for determining electromechanical coupling coefficients of piezoelectric elements" 42 (42): 630-640, 1995
31 Dai, K. Y., "An n-sided polygonal smoothed finite element method(nSFEM), for solid mechanics" 43 (43): 847-860, 2007
32 Liu, G. R., "An edge-based smoothed finite element method(ES-FEM)for static, free and force vibration analyses of solids" 320 (320): 1100-1130, 2009
33 Nguyen, X. H., "An edge-based smoothed finite element method for analysis of two-dimensional piezoelectric structures" 18 (18): 065015-, 2009
34 Benjeddou, A., "Advances in piezoelectric finite element modeling of adaptive structural elements : a survey" 76 (76): 347-363, 2000
35 Liu, G. R., "A theoretical study on the smoothed FEM(S-FEM)models : Properties, accuracy and convergence rates" 84 (84): 1222-1256, 2010
36 Chen, J. S., "A stabilized conforming nodal integration for Galerkin meshfree methods" 50 : 435-466, 2001
37 Liu, G. R., "A smoothed finite element method for mechanics problems" 39 (39): 859-877, 2007
38 Liu, G. R., "A radial point interpolation method for simulation of two-dimensional piezoelectric structures" 12 (12): 171-180, 2003
39 Friend, J., "A piezoelectric linear actuator formed from a multitude of bimorphs" 109 (109): 242-251, 2004
40 Jensen, J. S., "A Note on Sensitivity Analysis of Linear Dynamic Systems with Harmonic Excitation" Department of Mechanical Engineering, Technical University of Denmark 2009