A semi-analytical method for the dynamic characteristics of stiffened plate with general boundary conditions

Thin-Walled Structures - Tập 178 - Trang 109513 - 2022
Cong Gao1, Fuzhen Pang1, Haichao Li1, Di Jia2,3
1College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, PR China
2College of Power and Energy Engineering, Harbin Engineering University, Harbin, 150001, PR China
3Naval Research Institute, Beijing, 100161, PR China

Tài liệu tham khảo

Kolarevic, 2015, Dynamic stiffness elements for free vibration analysis of rectangular Mindlin plate assemblies, J. Sound Vib., 359, 84, 10.1016/j.jsv.2015.06.031 Kirisik, 2013, Free vibration analysis of a rectangular plate with Kelvin type boundary conditions, Shock Vib., 14, 447, 10.1155/2007/307575 Gupta, 2010, Thermal effect on free vibration of non-homogeneous orthotropic visco-elastic rectangular plate of parabolically varying thickness, Appl. Math., 1, 456, 10.4236/am.2010.16060 Zhang, 2017, An improved Fourier series solution for free vibration analysis of the moderately thick laminated composite rectangular plate with non-uniform boundary conditions, Int. J. Mech. Sci., 10.1016/j.ijmecsci.2016.12.007 Thinh, 2020, Free vibration of a horizontal functionally graded rectangular plate submerged in fluid medium, Ocean Eng., 216, 10.1016/j.oceaneng.2020.107593 Gao, 2022, Steady and transient vibration analysis of uniform and stepped annular/circular plates based on FSDT, Acta Mech., 1 Zhou, 2018, Aero-thermo-elastic flutter analysis of coupled plate structures in supersonic flow with general boundary conditions, J. Sound Vib., 430, 36, 10.1016/j.jsv.2018.05.035 Malekzadeh, 2004, Vibration of non-uniform thick plates on elastic foundation by differential quadrature method, Eng. Struct., 26, 1473, 10.1016/j.engstruct.2004.05.008 A. Mj, B. Yk, A. Mre, Application of generalized differential quadrature element method to free vibration of FG-GPLRC T-shaped plates - ScienceDirect, Eng. Struct. 242. Duc, 2021, Free vibration analysis of cracked FG CNTRC plates using phase field theory, Aerosp. Sci. Technol., 112 Ma, 2016, A hybrid analytical and finite element method for mid-frequency vibration analysis of plate structures with discontinuities, Int. J. Struct. Stab. Dyn. Kushwah, 2016, Free vibration analysis of laminated composite plate with various boundary condition using FEM, Int. J. Compos. Mater. Matrices, 2, 1 Yang, 2007, Analysis of a rectangular ceramic plate in electrically forced thickness-twist vibration as a piezoelectric transformer, IEEE Trans. Ultrason. Ferroelectr. Freq. Control, 54, 830, 10.1109/TUFFC.2007.316 Shi, 2017, Free and forced vibration of the moderately thick laminated composite rectangular plate on various elastic Winkler and Pasternak foundations, Shock Vib., 2017, 1 Wang, 2017, Free vibration of four-parameter functionally graded moderately thick doubly-curved panels and shells of revolution with general boundary conditions, Appl. Math. Model., 42, 705, 10.1016/j.apm.2016.10.047 Wang, 2017, A semi-analytical method for vibration analysis of functionally graded (FG) sandwich doubly-curved panels and shells of revolution, Int. J. Mech. Sci., 134, 479, 10.1016/j.ijmecsci.2017.10.036 Khdeir, 2016, Free and forced vibration of antisymmetric angle-ply laminated plate strips in cylindrical bending, J. Vib. Control Shopa, 2018, Transverse vibration of an orthotropic plate with a collection of holes of arbitrary configuration and mixed boundary conditions, Mater. Sci., 54, 368, 10.1007/s11003-018-0194-z Zhong, 2022, Spectral element modeling and experimental investigations on vibration behaviors of imperfect plate considering irregular hole and curved crack, J. Sound Vib., 10.1016/j.jsv.2022.116924 Soukup, 2009 Zijie, 2001, Transient vibration and sound radiation of a rectangular plate with viscoelastic boundary supports, Internat. J. Numer. Methods Engrg. Skočilas, 2013, Determination of the rheological properties of thin plate under transient vibration, Latin Am. J. Solids Struct., 10, 189, 10.1590/S1679-78252013000100018 Wu, 2011, Applying the principle of mixed variables solve the problems of forced vibration of the calculating rectangular plate by uniform load, Appl. Mech. Mater., 71–78, 1715, 10.4028/www.scientific.net/AMM.71-78.1715 Xiao, 2011, Free vibration analysis for disconnected thin rectangular plate with four free edges on nonlinear elastic foundation, Appl. Mech. Mater., 52–54, 1309, 10.4028/www.scientific.net/AMM.52-54.1309 Xiao, 2013, Nonlinear forced vibration analysis for thin rectangular plate on nonlinear elastic foundation, Appl. Mech. Mater., 204–208, 4716 Zhong, 2013, Nonlinear forced vibration analysis for thin rectangular plate on nonlinear elastic foundation, Res. J. Appl. Sci. Eng. Technol., 5, 2163 Zhang, 2009, Electrically forced vibration of a rectangular piezoelectric plate of monoclinic crystals, Int. J. Appl. Electromagn. Mech., 31, 207, 10.3233/JAE-2009-1058 Geng, 2016, Reconstruction of transient vibration and sound radiation of an impacted plate Geng, 2015, Reconstruction of transient vibration and sound radiation of an impacted plate using time domain plane wave superposition method, J. Sound Vib., 344, 114, 10.1016/j.jsv.2015.01.046 Liu, 2021, Dynamic analysis of arbitrarily restrained stiffened plate under moving loads, Int. J. Mech. Sci., 200, 10.1016/j.ijmecsci.2021.106414 Su, 2019, Vibration characteristic and flutter analysis of elastically restrained stiffened functionally graded plates in thermal environment, Int. J. Mech. Sci., 157–158, 872, 10.1016/j.ijmecsci.2019.05.028 Budipriyanto, 2007, Identification of damage on ship’s cross stiffened plate panels using vibration response, Ocean Eng., 34, 709, 10.1016/j.oceaneng.2006.05.009 Liew, 1994 Mukherjee, 1988, Finite element free vibration of eccentrically stiffened plates, Comput. Struct., 30, 1303, 10.1016/0045-7949(88)90195-2 Sapountzakis, 2009, Shear deformation effect in the dynamic analysis of plates stiffened by parallel beams, Acta Mech., 204, 249, 10.1007/s00707-008-0055-1 Ma, 2012, Nonlinear dynamic response of a stiffened plate with four edges clamped under primary resonance excitation, Nonlinear Dynam., 70, 627, 10.1007/s11071-012-0483-2 Ma, 2015, Primary parametric resonance resonance response of stiffened plates with moving boundary conditions, Nonlinear Dynam., 79, 2207, 10.1007/s11071-014-1806-2 Cho, 2015, Forced vibration analysis of arbitrarily constrained rectangular plates and stiffened panels using the assumed mode method, Thin-Walled Struct., 90, 182, 10.1016/j.tws.2015.01.020 Koko, 1990 Damnjanovi, 2017, Free vibration analysis of stiffened and cracked laminated composite plate assemblies using shear-deformable dynamic stiffness elements, Compos. Struct., 180, 723, 10.1016/j.compstruct.2017.08.038 Li, 2019, Jacobi–Ritz method for free vibration analysis of uniform and stepped circular cylindrical shells with arbitrary boundary conditions: A unified formulation, Comput. Math. Appl., 77, 427, 10.1016/j.camwa.2018.09.046 Li, 2019, A semi analytical method for free vibration analysis of composite laminated cylindrical and spherical shells with complex boundary conditions, Thin-Walled Struct., 136, 200, 10.1016/j.tws.2018.12.009 Hu, 2017, Physical essence and influence of model parameters on dynamic response of Rayleigh damping, J. Zhejiang Univ. (Eng. Sci.), 51, 1284 Tamijani, 2010, Vibration of plate with curvilinear stiffeners using mesh-free method, AIAA J., 48, 1569, 10.2514/1.43082 Shi, 2014, Free vibration analysis of moderately thick rectangular plates with variable thickness and arbitrary boundary conditions, Shock Vib., 2014, 1 Xing, 2009, Closed form solutions for free vibrations of rectangular Mindlin plates, Acta Mech. Sinica, 25, 689, 10.1007/s10409-009-0253-7