Free vibration analysis of folded plate structures by the FSDT mesh-free method

Computational Mechanics

Volumn 39, Issue 6, 2007, Pages 799-814

  Peng, L X ^a   Kitipornchai, S ^a   Liew, K M ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Folded plate; Free vibration; Mesh free Galerkin method; Meshless; Plate structure

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FINITE ELEMENT METHOD; GALERKIN METHODS; SHEAR DEFORMATION; STIFFNESS MATRIX; VIBRATION MEASUREMENT;

FOLDED PLATES; FREE VIBRATION; MASS MATRICES; PLATE STRUCTURES;

PLATES (STRUCTURAL COMPONENTS);

EID: 33847275230     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-006-0070-9     Document Type: Article

References (39)

1. Gaafar I (1954) Hipped plate analysis considering joint displacement. Trans Am Soc Civ Eng 119:743-784
2. Yitzhaki D (1958) Prismatic and cylindrical shell roofs. Haifa Science, Haifa
3. Yitzhaki D, Reiss M (1962) Analysis of folded plates. J Struct Div Am Soc Civ Eng 88:107-142
4. Whitney CS, Anderson BG, Birnbaum H (1959) Reinforced concrete folded plate construction. J Struct Div Am Soc Civ Eng 85:15-43
5. Goldberg JE, Leve HL (1957) Theory of prismatic folded plate structures. Int Assoc Bridge Struct Eng 17:59-86
6. Guha Niyogi A, Laha MK, Sinha PK (1999) Finite element vibration analysis of laminated composite folded plate structures. Shock Vib 6:273-283
7. Bar-Yoseph P, Hersckovitz I (1989) Analysis of folded plate structures. Thin Wall Struct 7:139-158
8. Bandyopadhyay JN, Laad PK (1990) Comparative analysis of folded plate structures. Comput Struct 36(2):291-296
9. Cheung YK (1969) Folded plate structures by finite strip method. J Struct Div Am Soc Civ Eng 95:2963-2979
10. Golley BW, Grice WA (1989) Prismatic folded plate analysis using finite strip-element. Comput Methods Appl Mech Eng 76:101-118
11. Eterovic AL, Godoy LA (1989) An exact-strip method for folded plate structures. Comput Struct 32(2):263-276
12. Ohga M, Shigematsu T, Kohigashi S (1991) Analysis of folded plate structures by a combined boundary element-transfer matrix method. Comput Struct 41(4):739-744
13. Liu WH, Huang CC (1992) Vibration analysis of folded plates. J Sound Vib 157(1): 123-137
14. Perry B, Bar-Yoseph P, Rosenhouse G (1992) Rectangular hybrid shell element for analysing folded plate structures. Comput Struct 44(1-2):177-185
15. Duan M, Miyamoto Y (2002) Effective hybrid/mixed finite elements for folded-plate structures. J Eng Mech 128(2):202-208
16. Lucy LB (1977) A numerical approach to the testing of the fission hypothesis. Astron J 82:1013-1024
17. Lancaster P, Salkauskas K (1981) Surfaces generated by moving least-squares methods. Math Comput 37:141-158
18. Nayroles B, Touzot G, Villon P (1992) Generalizing the finite element method: Difference approximation and diffuse elements. Comput Mech 10:583-594
19. Belytschko T, Lu YY, Gu L (1994) Element-free Galerkinmethods. Int J Numer Methods Eng 37:229-256
20. Liu WK, Jun S. Zhang YF (1995) Reproducing kernel particle methods. Int J Numer Methods Fluids 20:1081-1106
21. Chen JS, Pan C, Wu CT, Liu WK (1996) Reproducing kernel particle methods for large deformation analysis of nonlinear structures. Comput Methods Appl Mech Eng 139:195-227
22. Donning BM, Liu WK (1998) Meshless methods for shear-deformable beams and plates. Comput Methods Appl Mech Eng 152:47-71
23. Li S, Hao W, Liu WK (2000) Numerical simulations of large deformation of thin shell structures using meshfree methods. Comput Mech 25:102-116
24. Ren J, Liew KM (2002) Mesh-free method revisited: two new approaches for the treatment of essential boundary conditions. Int J Comput Eng Sci 3(2):219-233
25. Wang J, Liew KM, Tan MJ, Rajendran S (2002) Analysis of rectangular laminated composite plates via FSDT meshless method. Int J Mech Sci 44:1275-1293
26. Liew KM, Lim HK, Tan MJ, He XQ (2002) Analysis of laminated composite beams and plates with piezoelectric patches using the element-free Galerkin method. Comput Mech 29(6):486-497
27. Liew KM, Huang YQ, Reddy JN (2002) A hybird moving least squares and differential quadrature (MLSDQ) meshfree method. Int J Comput Eng Sci 3:1-12
28. Liew KM, Ng TY, Wu YC (2002) Meshfree method for large deformation analysis - a reproducing kernel particle approach. Eng Struct 24:543-551
29. Liew KM, Ng TY, Zhao X, Reddy JN (2002) Harmonic reproducing kernel particle method for free vibration analysis of rotating cylindrical shells. Comput Methods Appl Mech Eng 191: 4141-4157
30. Liew KM, Wu HY, Ng TY (2002) Meshless method for modeling of human proximal femur: Treatment of nonconvex boundaries and stress analysis. Comput Mech 28:390-400
31. Liew KM, Wu YC, Zou GP, Ng TY (2002) Elasto-plasticity revisited: Numerical analysis via reproducing kernel particle method and parametric quadratic programming. Tnt J Numer Methods Eng 55:669-683
32. Liew KM, Zhao X, Ng TY (2002) The element-free kp-Ritz method for vibration of laminated rotating cylindrical panels. Int J Struct Stab Dyn 2(4):523-558
33. Liew KM, Huang YQ (2003) Bending and buckling of thick symmetric rectangular laminates using the moving least-squares differential quadrature method. Int J Mech Sci 45:95-114
34. Liew KM, Huang YQ, Reddy JN (2003) Moving least square differential quadrature method and its application to the analysis of shear deformable plates. Int J Numer Methods Eng 56:2331-2351
35. Liew KM, Zou GP, Rajendran S (2003) A spline strip kernel particle method and its application to two-dimensional elasticity problems. Int J Numer Methods Eng 57:599-616
36. Liew, KM, Huang YQ, Reddy JN (2003) Vibration analysis of symmetrically laminated plates based on FSDT using the moving least squares differential quadrature method. Comput Methods Appl Mech Eng 192:2203-2222
37. Liew KM, Chen XL (2004) Buckling of rectangular Mindlin plates subjected to partial in-plane edge loads using the radial point interpolation method. Int J Solids Struct 41:1677-1695
38. Liew KM, Ren J, Reddy IN (2005) Numerical simulation of the thermomechanical behaviour of shape memory alloys. Int J Numer Methods Eng 63(7): 1014-1040
39. Irie T, Yamada G, Arora CP (1984) Free vibration of a cantilever folded plate. J Acoust Soc Am 76(6): 1743-1748