Araştırma Makalesi
Yıl 2019,
Cilt: 11 Sayı: 3, 445 - 454, 13.11.2019
Öz
Kaynakça
- Bellman, R., Casti, J., Differential quadrature and long-term integration, Journal of Mathematical Analysis and Application, 34, 235-38, 1971.
- Bellman, R., Kashef, B.G., Casti, J., Differential Quadrature: A technique for the rapid solution of nonlinear partial differential equation, Journal of Computational Physics, 10, 40-52, 1972.
- Bert, C.W., Malik, M., The differential quadrature method for irregular domains and application to plate vibration, International Journal of Mechanical Science, 38(6), 589-606, 1996.
- Bert, C.W., Jang, S.K., Striz, A.G., Two new approximate methods for analyzing free vibration of structural components, AIAA Journal, 26(5), 612-18, 1987.
- Bert, C.W., Wang, Z., Striz, A.G., Differential quadrature for static and free vibration analysis of anisotropic plates, International Journal of Solids and Structure, 30(13),1737-44, 1993.
- Bert, C.W., Malik, M., Free vibration analysis of tapered rectangular plates by differential quadrature method: a semi- analytical approach, Journal of Sound and Vibration, 190(1), 41-63, 1996.
- Bert, C.W., Wang, Z., Striz, A.G., Convergence of the DQ method in the analysis of an isotropic plates, Journal of Sound and Vibration, 170(1), 140-44, 1994.
- Bert, C.W., Malik, M., Differential quadrature method in computational mechanics: a review, Applied Mechanics Review, 49(1), 1-28, 1996.
- Bert, C.W., Wang, Z., Striz, A.G., Static and free vibrational analysis of beams and plates by differential quadrature method, Acta Mechanica,102, 11-24, 1994.
- Björck, A., Pereyra, V., Solution of Vandermonde system of equations, Mathematical computing, 24, 893-903, 1970.
- Civalek, O., Finite Element analysis of plates and shells, Elazığ: Fırat University (in Turkish), 1998.
- Shu, C., Xue, H., Explicit computations of weighting coefficients in the harmonic differential quadrature, Journal of Sound and Vibration, 204(3), 549-55, 1997.
- Liew, K.M., Teo, T.M., Three dimensional vibration analysis of rectangular plates based on differential quadrature method, Journal of Sound and Vibration, 220(4), 577-99, 1999.
- Timoshenko, S.P., Gere, J.M., Theory Elastic Stability, McGraw-Hill, Second Edition, Tokyo, 1959.
- Chajes, A., Principles of Structural Stability Theory, Prentice-Hall, New Jersey, 1974.
- Wang, X., Striz, A.G., Bert, C.W., Buckling and vibration analysis of skew plates by the differential quadrature method, AIAA Journal, 32(4), 886-889, 1994.
- Wang, X., Bert, C.W., Striz, A.G., Differential quadrature analysis of deflection, buckling and free vibration of beams and rectangular plates, Computers and Structures, 48(3), 473-479, 1993.
- Wei, G.W., A new algorithm for solving some mechanical problems, Comput. Methods Appl. Mech. Eng., 190, 2017-2030, 2001.
- Wei, G.W., Vibration analysis by discrete singular convolution, Journal of Sound and Vibration, 244, 535-553, 2001.
- Wei, G.W., Discrete singular convolution for beam analysis, Engineering Structures, 23, 1045-1053, 2001.
- Akgöz, B., Civalek, O., Effects of thermal and shear deformation on vibration response of functionally graded thick composite microbeams, Composites Part B: Engineering 129, 77-87, 2017.
- Civalek, O., Geometrically non-linear static and dynamic analysis of plates and shells resting on elastic foundation by the method of polynomial differential quadrature (PDQ), Fırat University, Elazığ, 2004.
- Civalek, O., Demir, C., Buckling and bending analyses of cantilever carbon nanotubes using the euler-bernoulli beam theory based on non-local continuum model, Asian Journal of Civil Engineering, 12(5), 651-661, 2011.
- Akgoz, B., Civalek, O., Nonlinear vibration analysis of laminated plates resting on nonlinear two-parameters elastic foundations, Steel and Composite Structures, 11(5), 403-421, 2011.
- Civalek, O., Acar, M.H., Discrete singular convolution method for the analysis of Mindlin plates on elastic foundations, International Journal of Pressure Vessels and Piping, 84(9), 527-535, 2007.
- Civalek, O., Yavas, A., Large deflection static analysis of rectangular plates on two parameter elastic foundations, International journal of science and technology, 1(1), 43-50, 2006.
- Civalek, O., Kiracioglu, O., Free vibration analysis of Timoshenko beams by DSC method, International Journal for Numerical Methods in Biomedical Engineering, 26(12), 1890-1898, 2010.
- Demir, C., Civalek, O., A new nonlocal FEM via Hermitian cubic shape functions for thermal vibration of nano beams surrounded by an elastic matrix, Composite Structures, 168, 872-884, 2017.
- Mercan, K., Demir, C., Civalek, O., Vibration analysis of FG cylindrical shells with power-law index using discrete singular convolution technique, Curved and Layered Structures, 3(1), 82-90, 2016.
- Demir, C., Civalek, O., On the analysis of microbeams, International Journal of Engineering Science, 121, 14-33, 2017.
- Civalek, O., Geometrically nonlinear dynamic and static analysis of shallow spherical shell resting on two-parameters elastic foundations, International Journal of Pressure Vessels and Piping, 113, 1-9, 2014.
Geometric Mapping for Non-Rectangular Plates with Micro/Nano or Macro Scaled under Different Effects
Öz
The main
purpose of this study is to give a perspective via discrete singular
convolution, differential quadrature
(DQ) and harmonic differential quadrature (HDQ). For this purpose, DQ and HDQ
methods are developed for the buckling, analysis of non-rectangular plates.
Plates of, skew, shape is considered under axial loads. Furthermore, transformation
formulations and some perspective for nano or macro scaled many problems with
different effects discussed via discrete singular convolution and differential
quadrature methods.
Anahtar Kelimeler
Discrete singular convolution Harmonic differential quadrature; Plates; Graphene sheet
Kaynakça
- Bellman, R., Casti, J., Differential quadrature and long-term integration, Journal of Mathematical Analysis and Application, 34, 235-38, 1971.
- Bellman, R., Kashef, B.G., Casti, J., Differential Quadrature: A technique for the rapid solution of nonlinear partial differential equation, Journal of Computational Physics, 10, 40-52, 1972.
- Bert, C.W., Malik, M., The differential quadrature method for irregular domains and application to plate vibration, International Journal of Mechanical Science, 38(6), 589-606, 1996.
- Bert, C.W., Jang, S.K., Striz, A.G., Two new approximate methods for analyzing free vibration of structural components, AIAA Journal, 26(5), 612-18, 1987.
- Bert, C.W., Wang, Z., Striz, A.G., Differential quadrature for static and free vibration analysis of anisotropic plates, International Journal of Solids and Structure, 30(13),1737-44, 1993.
- Bert, C.W., Malik, M., Free vibration analysis of tapered rectangular plates by differential quadrature method: a semi- analytical approach, Journal of Sound and Vibration, 190(1), 41-63, 1996.
- Bert, C.W., Wang, Z., Striz, A.G., Convergence of the DQ method in the analysis of an isotropic plates, Journal of Sound and Vibration, 170(1), 140-44, 1994.
- Bert, C.W., Malik, M., Differential quadrature method in computational mechanics: a review, Applied Mechanics Review, 49(1), 1-28, 1996.
- Bert, C.W., Wang, Z., Striz, A.G., Static and free vibrational analysis of beams and plates by differential quadrature method, Acta Mechanica,102, 11-24, 1994.
- Björck, A., Pereyra, V., Solution of Vandermonde system of equations, Mathematical computing, 24, 893-903, 1970.
- Civalek, O., Finite Element analysis of plates and shells, Elazığ: Fırat University (in Turkish), 1998.
- Shu, C., Xue, H., Explicit computations of weighting coefficients in the harmonic differential quadrature, Journal of Sound and Vibration, 204(3), 549-55, 1997.
- Liew, K.M., Teo, T.M., Three dimensional vibration analysis of rectangular plates based on differential quadrature method, Journal of Sound and Vibration, 220(4), 577-99, 1999.
- Timoshenko, S.P., Gere, J.M., Theory Elastic Stability, McGraw-Hill, Second Edition, Tokyo, 1959.
- Chajes, A., Principles of Structural Stability Theory, Prentice-Hall, New Jersey, 1974.
- Wang, X., Striz, A.G., Bert, C.W., Buckling and vibration analysis of skew plates by the differential quadrature method, AIAA Journal, 32(4), 886-889, 1994.
- Wang, X., Bert, C.W., Striz, A.G., Differential quadrature analysis of deflection, buckling and free vibration of beams and rectangular plates, Computers and Structures, 48(3), 473-479, 1993.
- Wei, G.W., A new algorithm for solving some mechanical problems, Comput. Methods Appl. Mech. Eng., 190, 2017-2030, 2001.
- Wei, G.W., Vibration analysis by discrete singular convolution, Journal of Sound and Vibration, 244, 535-553, 2001.
- Wei, G.W., Discrete singular convolution for beam analysis, Engineering Structures, 23, 1045-1053, 2001.
- Akgöz, B., Civalek, O., Effects of thermal and shear deformation on vibration response of functionally graded thick composite microbeams, Composites Part B: Engineering 129, 77-87, 2017.
- Civalek, O., Geometrically non-linear static and dynamic analysis of plates and shells resting on elastic foundation by the method of polynomial differential quadrature (PDQ), Fırat University, Elazığ, 2004.
- Civalek, O., Demir, C., Buckling and bending analyses of cantilever carbon nanotubes using the euler-bernoulli beam theory based on non-local continuum model, Asian Journal of Civil Engineering, 12(5), 651-661, 2011.
- Akgoz, B., Civalek, O., Nonlinear vibration analysis of laminated plates resting on nonlinear two-parameters elastic foundations, Steel and Composite Structures, 11(5), 403-421, 2011.
- Civalek, O., Acar, M.H., Discrete singular convolution method for the analysis of Mindlin plates on elastic foundations, International Journal of Pressure Vessels and Piping, 84(9), 527-535, 2007.
- Civalek, O., Yavas, A., Large deflection static analysis of rectangular plates on two parameter elastic foundations, International journal of science and technology, 1(1), 43-50, 2006.
- Civalek, O., Kiracioglu, O., Free vibration analysis of Timoshenko beams by DSC method, International Journal for Numerical Methods in Biomedical Engineering, 26(12), 1890-1898, 2010.
- Demir, C., Civalek, O., A new nonlocal FEM via Hermitian cubic shape functions for thermal vibration of nano beams surrounded by an elastic matrix, Composite Structures, 168, 872-884, 2017.
- Mercan, K., Demir, C., Civalek, O., Vibration analysis of FG cylindrical shells with power-law index using discrete singular convolution technique, Curved and Layered Structures, 3(1), 82-90, 2016.
- Demir, C., Civalek, O., On the analysis of microbeams, International Journal of Engineering Science, 121, 14-33, 2017.
- Civalek, O., Geometrically nonlinear dynamic and static analysis of shallow spherical shell resting on two-parameters elastic foundations, International Journal of Pressure Vessels and Piping, 113, 1-9, 2014.
Toplam 31 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Mühendislik |
| Bölüm | Makaleler |
| Yazarlar | |
| Yayımlanma Tarihi | 13 Kasım 2019 |
| Kabul Tarihi | 8 Kasım 2019 |
| Yayımlandığı Sayı | Yıl 2019 Cilt: 11 Sayı: 3 |
