Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2016, Cilt: 4 Sayı: 4, 145 - 162, 31.12.2016

Öz

Kaynakça

  • Love, A.E.H., 1927, A Treatise on the Mathematical Theory of Elasticity, fourth ed. Dover Publications, New York.
  • Timoshenko, S.P., Goodier, J.C., 1970, Theory of Elasticity, McGraw-Hill Co. Inc., New York.
  • Wang, C.M., Reddy, J.N., Lee, K.H., 2000, Shear Deformable Beams and Plates Relations with Classical Solutions, Elsevier Science Ltd., Oxford.
  • Polizzotto, C., 2015, From the Euler-Bernoulli beam to the Timoshenko one through a sequence of Reddy-type shear deformable beam models of increasing order, European Journal of Mechanics A/Solids, 53, 62-74.
  • Levinson, M., 1981. A new rectangular beam theory, Journal of Sound and Vibration, 74, 81-87.
  • Bickford, W.B., 1982. A consistent higher order beam theory, Theor. Appl. Mech. 11, 137-150.
  • Heyliger, P.R., Reddy, J.N., 1988, A higher order beam finite element for bending and vibration problems, Journal of Sound and Vibration, 126 (2), 309-326.
  • Subramanian, P., 2006, Dynamic analysis of laminated composite beams using higher order theories and finite elements, Composite Structures, 73, 342-353.
  • Reddy, J.N., 2007, Nonlocal theories for bending, buckling and vibration of beams, Int. J. Eng. Sci. 45, 288-307.
  • Carrera, E., Giunta, G., 2010, Refined beam theories based on a unified formulation, Int. J. Appl. Mech. 2 (1), 117-143.
  • Giunta, G., Biscani, F., Bellouettar, S., Ferreira, A.J.M., Carrera, E., 2013, Free vibration analysis of composite beams via refined theories, Composites Part B, 44, 540-552.
  • Arya, H., 2003, A new zig-zag model for laminated composite beams: free vibration analysis, Journal of Sound and Vibration, 264, 485-490.
  • Jun, L., Hongxing, H., 2009, Dynamic stiffness analysis of laminated composite beams using trigonometric shear deformation theory, Composite Structures, 89, 433-442.
  • Kurama, M., Afaq, K.S., Mistou, S., 2003, Mechanical behavior of laminated composite beams by the new multi-layered laminated composite structures model with trigonometric shear stress continuity, Int. J. Solids Struct, 40, 1525-1546.
  • Donning, B.M., Liu, W.K., 1998, Meshless methods for shear-deformable beams and plates, Computer Methods in Applied Mechanics and Engineering, 152, 47-71.
  • Gu, Y.T., Liu, G.R., 2001, A local point interpolation method for static and dynamic analysis of thin beams, http://www.sciencedirect.com/science/journal/00457825 Computer Methods in Applied Mechanics and Engineering, 190,42, 5515-5528.
  • Ferreira, A.J.M., Roque, C.M.C., Martins, P.A.L.S., 2004, Radial basis functions and higher-order shear deformation theories in the analysis of laminated composite beams and plates, Composite Structures, 66, 287-293.
  • Ferreira, A.J.M., Fasshauer, G.E., 2006, Computation of natural frequencies of shear deformable beams and plates by an RBF-pseudospectral method, 196, 134-146.
  • Moosavi, M.R., Delfanian, F., Khelil, A., 2011, The orthogonal meshless finite volume method for solving Euler–Bernoulli beam and thin plate problems, 49, 923-932.
  • Roque, C.M.C., Figaldo, D.S., Ferreira, A.J.M., Reddy, J.N., 2013, A study of a microstructure-dependent composite laminated Timoshenko beam using a modified couple stress theory and a meshless method, 96, 532-537.
  • Lucy LB, A numerical approach to the testing of the fission hypothesis, Astron J 82, 1013–1024, 1977.
  • Chen JK, Beraun JE, Jin CJ, An improvement for tensile instability in smoothed particle hydrodynamics, Comput Mech 23, 279–287, 1999.
  • Chen JK, Beraun JE, Jin CJ, Completeness of corrective smoothed particlemethod for linear elastodynamics, Comput Mech 24, 273–285, 1999.
  • Liu WK, Jun S, Zhang YF, Reproducing kernel particle methods, Int J Num Meth Fluids 20, 1081–1106, 1995.
  • Liu WK, Jun S, Li S, Adee J, Belytschko T, Reproducing kernel particle methods for structural dynamics, Int J Num Meth Eng 38, 1655–1679, 1995.
  • Chen JS, Pan C,Wu CT, Liu WK, Reproducing kernel particlemethods for large deformation analysis of non-linear structures, Comput Method Appl Mech Eng 139, 195–227, 1996.
  • Zhang GM, Batra RC, Modified smoothed particle hydrodynamics method and its application to transient problems, Comput Mech 34, 137–146, 2004.
  • Batra RC, Zhang GM, Analysis of adiabatic shear bands in elasto-thermo- viscoplastic materials by modified smoothed particle hydrodynamics (MSPH) method, J Comput Phys 201, 172–190, 2004.
  • Zhang GM, Batra RC, Wave propagation in functionally graded materials by modified smoothed particle hydrodynamics (MSPH) method, J Comput Phys 222, 374–390, 2007.
  • Batra RC, Zhang GM, Search algorithm, and simulation of elastodynamic crack propagation by modified smoothed particle hydrodynamics (MSPH) method, Comput Mech 40, 531–546, 2007.
  • Zhang GM, Batra RC, Symmetric smoothed particle hydrodynamics (SSPH) method and its application to elastic problems, Comput Mech 43, 321-340, 2009.
  • Batra RC, Zhang GM, SSPH basis functions for meshless methods, and comparison of solutions with strong and weak formulations, Comput Mech 41, 527-545, 2008.
  • Tsai CL, Guan YL, Batra RC, Ohanehi DC, Dillard JG, Nicoli E, Dillard DA, Comparison of the performance of SSPH and MLS basis functions for two-dimensional linear elastostatics problems including quasistatic crack propagation, Comput Mech 51, 19-34, 2013.
  • Tsai CL, Guan YL, Ohanehi DC, Dillard JG, Dillard DA, Batra RC, Analysis of cohesive failure in adhesively bonded joints with the SSPH meshless method, International Journal of Adhesion & Adhesives, 51, 67-80, 2014.
  • Karamanli A, Mugan A, Solutions of two–dimensional heat transfer problems by using symmetric smoothed particle hydrodynamics method, Journal of Applied and Computational Mathematics 1, 1-6, 2012.
  • Karamanli A, Bending Deflection Analysis of a Semi-Trailer Chassis by Using Symmetric Smoothed Particle Hydrodynamics, International Journal of Engineering Technologies, 1, 4, 134-140, 2015.
  • Karamanli A, Mugan A, Strong from meshless implementation of Taylor series method, Appl. Math. Comput. 219, 9069-9080, 2013 .
  • Karamanli A, Different Implementation Approaches of the Strong Form Meshless Implementation of Taylor Series Method, International Journal of Engineering Technologies, Vol. 1, No:3, 2015.
  • Kaewumpai, S., Luadsong, A., Two-field-variable meshless method based on moving kriging interpolation for solving simply supported thin plates under various loads. J. King Saud Univ. Sci., 1018–3647, 2014.
  • Yimnak, K., Luadsong, A., A local integral equation formulation based on moving kriging interpolation for solving coupled nonlinear reaction–diffusion equations. Adv. Math. Phys., 2014.
  • Zhuang, X., Zhu, H., Augarde, C., The meshless Shepard and least squares (MSLS) method, Comput Mech, 53, 343-357, 2014.
  • Fatahi, H., Nadjafi, JS, Shivanian, E, New spectral meshless radial point interpolation (SMRPI) method for the two-dimensional Fredholm integral equations on general domains with error analysis, http://www.sciencedirect.com/science/journal/03770427Journal of Computational and Applied Mathematics, 264, 196-209, 2016.

Analysis of isotropic tapered beams by using symmetric smoothed particle hydrodynamics method

Yıl 2016, Cilt: 4 Sayı: 4, 145 - 162, 31.12.2016

Öz


Kaynakça

  • Love, A.E.H., 1927, A Treatise on the Mathematical Theory of Elasticity, fourth ed. Dover Publications, New York.
  • Timoshenko, S.P., Goodier, J.C., 1970, Theory of Elasticity, McGraw-Hill Co. Inc., New York.
  • Wang, C.M., Reddy, J.N., Lee, K.H., 2000, Shear Deformable Beams and Plates Relations with Classical Solutions, Elsevier Science Ltd., Oxford.
  • Polizzotto, C., 2015, From the Euler-Bernoulli beam to the Timoshenko one through a sequence of Reddy-type shear deformable beam models of increasing order, European Journal of Mechanics A/Solids, 53, 62-74.
  • Levinson, M., 1981. A new rectangular beam theory, Journal of Sound and Vibration, 74, 81-87.
  • Bickford, W.B., 1982. A consistent higher order beam theory, Theor. Appl. Mech. 11, 137-150.
  • Heyliger, P.R., Reddy, J.N., 1988, A higher order beam finite element for bending and vibration problems, Journal of Sound and Vibration, 126 (2), 309-326.
  • Subramanian, P., 2006, Dynamic analysis of laminated composite beams using higher order theories and finite elements, Composite Structures, 73, 342-353.
  • Reddy, J.N., 2007, Nonlocal theories for bending, buckling and vibration of beams, Int. J. Eng. Sci. 45, 288-307.
  • Carrera, E., Giunta, G., 2010, Refined beam theories based on a unified formulation, Int. J. Appl. Mech. 2 (1), 117-143.
  • Giunta, G., Biscani, F., Bellouettar, S., Ferreira, A.J.M., Carrera, E., 2013, Free vibration analysis of composite beams via refined theories, Composites Part B, 44, 540-552.
  • Arya, H., 2003, A new zig-zag model for laminated composite beams: free vibration analysis, Journal of Sound and Vibration, 264, 485-490.
  • Jun, L., Hongxing, H., 2009, Dynamic stiffness analysis of laminated composite beams using trigonometric shear deformation theory, Composite Structures, 89, 433-442.
  • Kurama, M., Afaq, K.S., Mistou, S., 2003, Mechanical behavior of laminated composite beams by the new multi-layered laminated composite structures model with trigonometric shear stress continuity, Int. J. Solids Struct, 40, 1525-1546.
  • Donning, B.M., Liu, W.K., 1998, Meshless methods for shear-deformable beams and plates, Computer Methods in Applied Mechanics and Engineering, 152, 47-71.
  • Gu, Y.T., Liu, G.R., 2001, A local point interpolation method for static and dynamic analysis of thin beams, http://www.sciencedirect.com/science/journal/00457825 Computer Methods in Applied Mechanics and Engineering, 190,42, 5515-5528.
  • Ferreira, A.J.M., Roque, C.M.C., Martins, P.A.L.S., 2004, Radial basis functions and higher-order shear deformation theories in the analysis of laminated composite beams and plates, Composite Structures, 66, 287-293.
  • Ferreira, A.J.M., Fasshauer, G.E., 2006, Computation of natural frequencies of shear deformable beams and plates by an RBF-pseudospectral method, 196, 134-146.
  • Moosavi, M.R., Delfanian, F., Khelil, A., 2011, The orthogonal meshless finite volume method for solving Euler–Bernoulli beam and thin plate problems, 49, 923-932.
  • Roque, C.M.C., Figaldo, D.S., Ferreira, A.J.M., Reddy, J.N., 2013, A study of a microstructure-dependent composite laminated Timoshenko beam using a modified couple stress theory and a meshless method, 96, 532-537.
  • Lucy LB, A numerical approach to the testing of the fission hypothesis, Astron J 82, 1013–1024, 1977.
  • Chen JK, Beraun JE, Jin CJ, An improvement for tensile instability in smoothed particle hydrodynamics, Comput Mech 23, 279–287, 1999.
  • Chen JK, Beraun JE, Jin CJ, Completeness of corrective smoothed particlemethod for linear elastodynamics, Comput Mech 24, 273–285, 1999.
  • Liu WK, Jun S, Zhang YF, Reproducing kernel particle methods, Int J Num Meth Fluids 20, 1081–1106, 1995.
  • Liu WK, Jun S, Li S, Adee J, Belytschko T, Reproducing kernel particle methods for structural dynamics, Int J Num Meth Eng 38, 1655–1679, 1995.
  • Chen JS, Pan C,Wu CT, Liu WK, Reproducing kernel particlemethods for large deformation analysis of non-linear structures, Comput Method Appl Mech Eng 139, 195–227, 1996.
  • Zhang GM, Batra RC, Modified smoothed particle hydrodynamics method and its application to transient problems, Comput Mech 34, 137–146, 2004.
  • Batra RC, Zhang GM, Analysis of adiabatic shear bands in elasto-thermo- viscoplastic materials by modified smoothed particle hydrodynamics (MSPH) method, J Comput Phys 201, 172–190, 2004.
  • Zhang GM, Batra RC, Wave propagation in functionally graded materials by modified smoothed particle hydrodynamics (MSPH) method, J Comput Phys 222, 374–390, 2007.
  • Batra RC, Zhang GM, Search algorithm, and simulation of elastodynamic crack propagation by modified smoothed particle hydrodynamics (MSPH) method, Comput Mech 40, 531–546, 2007.
  • Zhang GM, Batra RC, Symmetric smoothed particle hydrodynamics (SSPH) method and its application to elastic problems, Comput Mech 43, 321-340, 2009.
  • Batra RC, Zhang GM, SSPH basis functions for meshless methods, and comparison of solutions with strong and weak formulations, Comput Mech 41, 527-545, 2008.
  • Tsai CL, Guan YL, Batra RC, Ohanehi DC, Dillard JG, Nicoli E, Dillard DA, Comparison of the performance of SSPH and MLS basis functions for two-dimensional linear elastostatics problems including quasistatic crack propagation, Comput Mech 51, 19-34, 2013.
  • Tsai CL, Guan YL, Ohanehi DC, Dillard JG, Dillard DA, Batra RC, Analysis of cohesive failure in adhesively bonded joints with the SSPH meshless method, International Journal of Adhesion & Adhesives, 51, 67-80, 2014.
  • Karamanli A, Mugan A, Solutions of two–dimensional heat transfer problems by using symmetric smoothed particle hydrodynamics method, Journal of Applied and Computational Mathematics 1, 1-6, 2012.
  • Karamanli A, Bending Deflection Analysis of a Semi-Trailer Chassis by Using Symmetric Smoothed Particle Hydrodynamics, International Journal of Engineering Technologies, 1, 4, 134-140, 2015.
  • Karamanli A, Mugan A, Strong from meshless implementation of Taylor series method, Appl. Math. Comput. 219, 9069-9080, 2013 .
  • Karamanli A, Different Implementation Approaches of the Strong Form Meshless Implementation of Taylor Series Method, International Journal of Engineering Technologies, Vol. 1, No:3, 2015.
  • Kaewumpai, S., Luadsong, A., Two-field-variable meshless method based on moving kriging interpolation for solving simply supported thin plates under various loads. J. King Saud Univ. Sci., 1018–3647, 2014.
  • Yimnak, K., Luadsong, A., A local integral equation formulation based on moving kriging interpolation for solving coupled nonlinear reaction–diffusion equations. Adv. Math. Phys., 2014.
  • Zhuang, X., Zhu, H., Augarde, C., The meshless Shepard and least squares (MSLS) method, Comput Mech, 53, 343-357, 2014.
  • Fatahi, H., Nadjafi, JS, Shivanian, E, New spectral meshless radial point interpolation (SMRPI) method for the two-dimensional Fredholm integral equations on general domains with error analysis, http://www.sciencedirect.com/science/journal/03770427Journal of Computational and Applied Mathematics, 264, 196-209, 2016.
Toplam 42 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Armagan Karamanli Bu kişi benim

Yayımlanma Tarihi 31 Aralık 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 4 Sayı: 4

Kaynak Göster

APA Karamanli, A. (2016). Analysis of isotropic tapered beams by using symmetric smoothed particle hydrodynamics method. New Trends in Mathematical Sciences, 4(4), 145-162.
AMA Karamanli A. Analysis of isotropic tapered beams by using symmetric smoothed particle hydrodynamics method. New Trends in Mathematical Sciences. Aralık 2016;4(4):145-162.
Chicago Karamanli, Armagan. “Analysis of Isotropic Tapered Beams by Using Symmetric Smoothed Particle Hydrodynamics Method”. New Trends in Mathematical Sciences 4, sy. 4 (Aralık 2016): 145-62.
EndNote Karamanli A (01 Aralık 2016) Analysis of isotropic tapered beams by using symmetric smoothed particle hydrodynamics method. New Trends in Mathematical Sciences 4 4 145–162.
IEEE A. Karamanli, “Analysis of isotropic tapered beams by using symmetric smoothed particle hydrodynamics method”, New Trends in Mathematical Sciences, c. 4, sy. 4, ss. 145–162, 2016.
ISNAD Karamanli, Armagan. “Analysis of Isotropic Tapered Beams by Using Symmetric Smoothed Particle Hydrodynamics Method”. New Trends in Mathematical Sciences 4/4 (Aralık 2016), 145-162.
JAMA Karamanli A. Analysis of isotropic tapered beams by using symmetric smoothed particle hydrodynamics method. New Trends in Mathematical Sciences. 2016;4:145–162.
MLA Karamanli, Armagan. “Analysis of Isotropic Tapered Beams by Using Symmetric Smoothed Particle Hydrodynamics Method”. New Trends in Mathematical Sciences, c. 4, sy. 4, 2016, ss. 145-62.
Vancouver Karamanli A. Analysis of isotropic tapered beams by using symmetric smoothed particle hydrodynamics method. New Trends in Mathematical Sciences. 2016;4(4):145-62.