1 |
Carbonari, R.C., Nader, G. and Silva, E.C.N. (2006), "Experimental and numerical characterization of piezoelectric mechanisms designed using topology optimization", Int. ABCM symposium series in Mechatronics , 2, 425-432.
|
2 |
Carbonari, R.C., Silva, E.C.N. and Nishiwaki, S. (2005), "Design of piezoelectric multi-actuated microtools using topology optimization", Smart Mater. Struct., 14(6) , 1431-1447.
DOI
ScienceOn
|
3 |
Chang, S.J., Rogacheva, N.N. and Chou, C.C. (1995), "Analysis of methods for determining electromechanical coupling coefficients of piezoelectric elements", IEEE T. Ultrason. Ferr., 42(4), 630-640.
DOI
ScienceOn
|
4 |
Chen, J.S., Wu, C.T. and Yoon, S. Y. (2001), "A stabilized conforming nodal integration for Galerkin meshfree methods", Int. J. Numer. Meth. Eng., 50, 435-466.
DOI
ScienceOn
|
5 |
Choi, K.K. and Kim, N.H. (2005), Structural sensitivity analysis and optimization, Springer Science and Business Media, Inc., New York.
|
6 |
Dai, K.Y., Liu, G.R. and Nguyen, T.T. (2007), "An n-sided polygonal smoothed finite element method (nSFEM), for solid mechanics", Finite Elem. Anal. Des., 43(11-12), 847-860.
DOI
ScienceOn
|
7 |
Donoso, A.; Sigmund, O. (2009), "Optimization of piezoelectric bimorph actuators with active damping for static and dynamic loads", Struct. Multidiscip. O., 38(2), 171-183.
DOI
|
8 |
Friend, J., Umeshima, A., Ishii, T., Nakamura, K. and Ueha, S. (2004), "A piezoelectric linear actuator formed from a multitude of bimorphs", Sensor. Actuat. A-Phys., 109(3), 242-251.
DOI
ScienceOn
|
9 |
Huang, X. and Xie, Y.M. (2010), Evolutionary Topology Optimization of Continuum Structures Methods and Applications, John Wiley and Sons Ltd.
|
10 |
Jensen, J.S. (2009), A Note on Sensitivity Analysis of Linear Dynamic Systems with Harmonic Excitation, Report. Department of Mechanical Engineering, Technical University of Denmark.
|
11 |
Kang, Zh. and Wang, X. (2010), "Topology optimization of bending actuators with multilayer piezoelectric Material", Smart Mater. Struct., 19, 075018(11p).
DOI
ScienceOn
|
12 |
Kim, J.E., Kim, D.S., Ma, P.S. and Kim, Y.Y. (2010), "Multi-physics interpolation for the topology optimization of piezoelectric systems", Comput. Method. Appl. M., 199(49-52), 3153-3168.
DOI
ScienceOn
|
13 |
Kogl, M. and Silva, E.C.N. (2005), "Topology optimization of smart structures: design of piezoelectric plate and shell actuators", Smart Mater. Struct., 14(2) , 387-399.
DOI
ScienceOn
|
14 |
Liu, G.R., Dai, K.Y., Lim, K.M. and Gu, Y.T. (2003), "A radial point interpolation method for simulation of two-dimensional piezoelectric structures", Smart Mater. Struct., 12(2), 171-180.
DOI
ScienceOn
|
15 |
Liu, G.R., Dai, K.Y. and Nguyen, T.T. (2007), "A smoothed finite element method for mechanics problems", Comput. Mech., 39(6), 859-877.
DOI
ScienceOn
|
16 |
Liu, G.R. and Nguyen, T.T. (2010), Smoothed finite element methods, CRC press, Taylor and Francis group.
|
17 |
Liu, G.R., Nguyen, T.T., Dai, K.Y. and Lam, K.Y. (2007), "Theoretical aspects of the smoothed finite element method (SFEM)", Int. J. Numer. Meth. Eng., 71(8), 902-930.
DOI
ScienceOn
|
18 |
Liu, G.R., Nguyen, T.T. and Lam, K.Y. (2009), "An edge-based smoothed finite element method (ES-FEM) for static, free and force vibration analyses of solids", J. Sound Vib., 320(4-5), 1100-1130.
DOI
ScienceOn
|
19 |
Liu, G.R., Nguyen, X.H. and Nguyen, T.T. (2010), "A theoretical study on the smoothed FEM (S-FEM) models: Properties, accuracy and convergence rates", Int. J. Numer. Meth. Eng., 84(10), 1222-1256.
DOI
ScienceOn
|
20 |
Long, C.S., Loveday, P.W. and Groenwold, A.A. (2006), "Planar four node piezoelectric with drilling degrees of freedom", Int. J. Numer. Meth. Eng., 65(11), 1802-1830.
DOI
ScienceOn
|
21 |
Nguyen, X.H., Liu, G.R., Nguyen, T.T. and Nguyen, C.T. (2009), "An edge-based smoothed finite element method for analysis of two-dimensional piezoelectric structures", Smart Mater. Struct., 18(6), 065015(12pp).
DOI
ScienceOn
|
22 |
Ohs, R.R. and Aluru, N.R. (2001), "Meshless analysis of piezoelectric devices", Comput. Mech., 27(1), 23-36.
DOI
ScienceOn
|
23 |
Sigmund, O. (1997), "On the design of compliant mechanisms using topology optimization", Mech. Struct. Mach., 25(4), 495-526.
|
24 |
Rozvany, G., Zhou, M. and Birker, T. (1992), "Generalized shape optimization without homogenization", Struct. Optimization, 4(3-4), 250-254.
DOI
|
25 |
Sadeghbeigi Olyaie, M., Razfar, M.R. and Kansa, E.J. (2011), "Reliability based topology optimization of a linear piezoelectric micromotor using the cell-based smoothed finite element method", CMES, 75(1), 43-88.
|
26 |
Sigmund, O. (1994), Design of Material Structures Using Topology Optimization, Ph.D. Thesis, Department of Solid mechanics, Technical University of Denmark.
|
27 |
Silva, E.C.N. (2003), "Topology optimization applied to the design of linear piezoelectric motors", Smart Mater. Struct., 14(4), 309-322.
|
28 |
Silva, R.C.N. and Kikuchi, N. (1999), "Design of piezocomposite materials and piezoelectric transducers using topology optimization-part III", Arch. Comput. Method E., 6(4), 305-329.
DOI
|
29 |
Svanberg, K. (1987), "Method of moving asymptotes-a new method for structural optimization", Int. J. Numer. Meth. Eng., 24(2), 359-373.
DOI
ScienceOn
|
30 |
Sze, K.Y., Yang, X.M. and Yao, L.Q. (2004), "Stabilized plane and axisymmetric piezoelectric finite element models", Finite Elem. Anal. Des. 40(9-10), 1105-1122.
DOI
ScienceOn
|
31 |
Ueha, S. and Tomikawa, Y. (1993), Ultrasonic Motors-Theory and Applications. Monographs in Electrical and Electronic Engineering, 29, Clarendon Press, Oxford.
|
32 |
Bendsoe, M.P. (1989), "Optimal shape design as a material distribution problem", Struct. Optimization, 1(4), 193-202.
DOI
|
33 |
Allik, H. and Hughes, T.J.R. (1970), "Finite element method for piezo-electric vibration", Int. J. Numer. Meth. Eng., 2(2), 151-157.
DOI
|
34 |
Arora, J.S. (2004), Introduction to optimum design. 2nd edition, Elsevier academic press.
|
35 |
Begg, D.W. and Liu. X. (2000), "On simultaneous optimization of smart structures-Part II: algorithms and examples", Comput. Method. Appl. M., 184(1), 25-37.
DOI
ScienceOn
|
36 |
Bendsoe, M.P. and Kikuchi, N. (1988), "Generating optimal topologies in structural design using a homogenization method", Comput. Method. Appl. M., 71(2), 197-224.
DOI
ScienceOn
|
37 |
Bendsoe, M.P. and Sigmund, O. (1999), "Material interpolations in topology optimization", Arch. Appl. Mech., 69(9-10), 635-654.
DOI
ScienceOn
|
38 |
Bendsoe, M.P. and Sigmund, O. (2003), Topology optimization: theory, methods and applications, Springer, Berlin.
|
39 |
Benjeddou, A. (2000), "Advances in piezoelectric finite element modeling of adaptive structural elements: a survey", Comput. Struct., 76(1-3), 347-363.
DOI
ScienceOn
|
40 |
Bordas, S.P.A., Rabczuk. T., Hung, N.X., Nguyen, V.P, Natarajan, S., Bog, T., Quan, D.M. and Hiep, N.V. (2010), "Strain smoothing in FEM and XFEM", Comput. Struct., 88(23-24), 1419-1443.
DOI
ScienceOn
|