Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Simplified dynamic analysis of stepped thickness rectangular plate structures by the assumed mode method
In this article, the assumed mode method is applied to simplified dynamic analysis of stepped thickness rectangular Mindlin plates and stiffened panels with arbitrary boundary conditions. The natural and frequency responses of stepped thickness plate structures subjected to harmonic point excitation force and enforced acceleration at boundaries, respectively, are considered. Potential and kinetic energies of the system are formulated and used to derive eigenvalue problem utilizing Lagrange’s equation of motion, and mode superposition method is further used for forced response assessment. Characteristic orthogonal polynomials having the property of Timoshenko beam functions are used for the assumed modes. Numerical examples analysing vibration of stepped thickness plate structures with different topologies and various sets of boundary conditions are provided. Numerical results are compared with the results from the relevant literature and finite element solutions obtained by a general finite element tool, and a very good agreement is achieved. Hence, it is expected that stepped rectangular plate structures satisfying the prescribed criteria regarding natural and frequency responses can be efficiently designed based on the proposed method.
Simplified dynamic analysis of stepped thickness rectangular plate structures by the assumed mode method
In this article, the assumed mode method is applied to simplified dynamic analysis of stepped thickness rectangular Mindlin plates and stiffened panels with arbitrary boundary conditions. The natural and frequency responses of stepped thickness plate structures subjected to harmonic point excitation force and enforced acceleration at boundaries, respectively, are considered. Potential and kinetic energies of the system are formulated and used to derive eigenvalue problem utilizing Lagrange’s equation of motion, and mode superposition method is further used for forced response assessment. Characteristic orthogonal polynomials having the property of Timoshenko beam functions are used for the assumed modes. Numerical examples analysing vibration of stepped thickness plate structures with different topologies and various sets of boundary conditions are provided. Numerical results are compared with the results from the relevant literature and finite element solutions obtained by a general finite element tool, and a very good agreement is achieved. Hence, it is expected that stepped rectangular plate structures satisfying the prescribed criteria regarding natural and frequency responses can be efficiently designed based on the proposed method.
Simplified dynamic analysis of stepped thickness rectangular plate structures by the assumed mode method
Cho, Dae-Seung (Autor:in) / Kim, Byung Hee (Autor:in) / Kim, Jin-Hyeong (Autor:in) / Vladimir, Nikola (Autor:in) / Choi, Tae-Muk (Autor:in)
01.02.2017
11 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Simplified Analysis of Rectangular Plates with Stepped Thickness
| British Library Online Contents | 1995
Simplified Analysis of Rectangular Plates with Stepped Thickness
| Online Contents | 1995
Simplified Analysis of Rectangular Plates with Stepped Thickness
| Online Contents | 1996
Closure by authors - Simplified Analysis of Rectangular Plates with Stepped Thickness
| Online Contents | 1996