مقاله Free vibration analysis of rectangular plates with internal columns and uniform elastic edge supports by pb-2 Ritz method : تی پی بین

خلاصه مقاله

Free vibration analysis of rectangular plates with internal columns and elastic edge supports is presented using the powerful pb-2 Ritz method. Reddy's third order shear deformation plate theory is employed. The versatile pb-2 Ritz functions defined by the product of a two-dimensional polynomial and a basic function are taken as the admissible functions. Substituting these displacement functions into the energy functional and minimizing the total energy by differentiation, leads to a typical eigenvalue problem, which is solved by a standard eigenvalue solver. Stiffness and mass matrices are numerically integrated over the plate using the Gaussian quadrature. The accuracy and efficiency of the proposed method are demonstrated through several numerical examples by comparison and convergency studies. Many numerical results for reasonable natural frequency parameters of rectangular plates with different combinations of elastic boundary conditions and column supports at any locations are presented, which can be used as a benchmark for future studies in this area.

نویسندگان

L.H. Wu [ Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang 050043, PR China ]

Y. Lu [ Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang 050043, PR China ]

کلمات کلیدی

Free vibration Thick plate Rectangular plate Third order shear deformation theory pb 2 Ritz method Natural frequency

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مشاهده مقالات

International Journal of Mechanical Sciences

The International Journal of Mechanical Sciences (IJMS) is an international forum for the publication and dissemination of original work which contributes to greater scientific understanding of the main disciplines underpinning the mechanical, civil and material engineering sciences. Original contributions providing insight into the use of analytical, computational (e.g. FEM, BEM, mesh-free methods and others) modelling methods for rigid body mechanics (e.g. dynamics, vibration, stability), structural mechanics, metal forming, behaviour and application of advanced materials (metals, composite, cellular, smart etc.), impact mechanics, strain localization and other effects of nonlinearity (e.g. large deflections, plasticity, fracture etc.), fluid mechanics (external and internal flows), tribology, thermodynamics and materials processing generally form the core of the journal contents.

حوزه های تحت پوشش : مهندسی مکانیک، علوم فیزیک، علوم ریاضی، مهندسی مواد