Naslov
Simplified dynamic analysis of stepped thickness rectangular plate structures by the assumed mode method

Autori
Cho, Dae Seung ; Kim, Byung Hee ; Kim, Jin Hyeong ; Vladimir, Nikola ; Choi, Tae Muk

Izvornik
Proceedings of the Institution of Mechanical Engineers Part M-Journal of Engineering for the Maritime Environment (1475-0902) 231 (2017), 1; 177-187

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Mindlin plate theory, stepped thickness, assumed mode method, mode superposition method, excitation force, enforced boundary displacement

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Brodogradnja, Građevinarstvo, Strojarstvo

POVEZANOST RADA