scholarly journals The eigenvalues inequalities of the weighted Paneitz operator and weighted vibration problem for a clamped plate

2020 ◽  
Vol 51 (5) ◽  
pp. 723
Author(s):  
Du Feng ◽  
Wu Chuanxi
Keyword(s):  
Clamped Plate ◽  
Vibration Problem ◽  
Paneitz Operator

Upper Spectral Bound of Biharmonic Operator Eigenvalue Problem by Bicubic Hermite Element

2012 ◽  
Vol 466-467 ◽  
pp. 430-434
Author(s):  
Shi Xian Ren ◽  
Yi Du Yang ◽  
Hai Bi
Keyword(s):  
Eigenvalue Problem ◽  
Upper Bound ◽  
Biharmonic Operator ◽  
Clamped Plate ◽  
Spectral Bound ◽  
Vibration Problem ◽  
Morley Element ◽  
Matlab Program

This paper uses the bicubic Hermite element to compute the first four eigenvalues of the vibration problem of clamped plate by Matlab program and gives upper bound of the exact eigenvalues. Combing Matlab experiments on Morley element for lower spectral bound we can provide a range of the exact eigenvalues of biharmonic operator more accurately.

An equivalent NVH model of vehicle door seal strip and its application in door vibration problem

2021 ◽  
Vol 179 ◽  
pp. 108063
Author(s):  
Erli Xia ◽  
Ziming Chen ◽  
Zhigang Xue ◽  
Sawei Qiu ◽  
Congchang Xu ◽  
...  
Keyword(s):  
Vibration Problem

Solution of Rectangular Clamped Plate With Lateral Load by Generalized Energy Method

1939 ◽  
Vol 6 (4) ◽  
pp. A168-A170
Author(s):  
Gerald Pickett
Keyword(s):  
Rectangular Plate ◽  
Energy Method ◽  
Lateral Load ◽  
Clamped Plate

Abstract The author gives formulas by which the energy method may be readily applied for obtaining the moments and deflections for any lateral load on a clamped rectangular plate. He not only gives mathematical computations illustrating the application of the formulas, but also discusses the accuracy of the method compared to others, and points out its limitations.

Pressure and Strain Measurement on a Thin Clamped Plate in Supersonic Flow using a Dual-Layer Luminescent Coating

2021 ◽  
Author(s):  
Amruthkiran Hegde ◽  
Mingtai Chen ◽  
Semih Olcmen ◽  
James P. Hubner ◽  
Jim Crafton
Keyword(s):  
Supersonic Flow ◽  
Strain Measurement ◽  
Clamped Plate ◽  
Luminescent Coating
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