Dynamic analysis of an explosively loaded hinged rectangular plate

1987 ◽  
Vol 26 (1-2) ◽  
pp. 339-344 ◽  
Author(s):  
Aaron D. Gupta ◽  
Frederick H. Gregory ◽  
Robert L. Bitting ◽  
Sujan Bhattacharya
Keyword(s):  
Dynamic Analysis ◽  
Rectangular Plate

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

2016 ◽  
Vol 231 (1) ◽  
pp. 177-187
Author(s):  
Dae-Seung Cho ◽  
Byung Hee Kim ◽  
Jin-Hyeong Kim ◽  
Nikola Vladimir ◽  
Tae-Muk Choi
Keyword(s):  
Finite Element ◽  
Boundary Conditions ◽  
Dynamic Analysis ◽  
Rectangular Plate ◽  
Forced Response ◽  
Plate Structures ◽  
Assumed Mode Method ◽  
Frequency Responses ◽  
Mode Method ◽  
Assumed Mode

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.

Scattering from a Thin Rectangular Plate at Glancing Incidence

2001 ◽  
Vol 21 (2) ◽  
pp. 147-163 ◽  
Author(s):  
Hirohide Serizawa ◽  
Kohei Hongo ◽  
Hirokazu Kobayashi
Keyword(s):  
Rectangular Plate ◽  
Thin Rectangular Plate
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