Universal inequalities for a horizontal Laplacian version of the clamped plate problem on Carnot group

2017 ◽  
Vol 37 (5) ◽  
pp. 1536-1544
Author(s):  
Feng DU ◽  
Chuanxi WU ◽  
Guanghan LI ◽  
Changyu XIA
Keyword(s):  
Carnot Group ◽  
Clamped Plate ◽  
Universal Inequalities

EIGENVALUE ESTIMATES ON DOMAIN OF THE POLYDISK

2012 ◽  
Vol 23 (01) ◽  
pp. 1250014
Author(s):  
TAO ZHENG ◽  
DAGUANG CHEN ◽  
MIN CAI
Keyword(s):  
Bounded Domain ◽  
First Eigenvalue ◽  
Dirichlet Laplacian ◽  
Clamped Plate ◽  
Eigenvalue Estimates ◽  
The First Eigenvalue ◽  
Universal Inequalities

In this paper, we investigate universal inequalities for eigenvalues of the Dirichlet Laplacian and the clamped plate problem on a bounded domain in an n-dimensional polydisk 𝔻n. Moreover, from the domain monotonicity of the eigenvalue, we can prove that if the first eigenvalue of the Dirichlet Laplacian tends to [Formula: see text] when the domain tends to the polydisk 𝔻n, then all of the eigenvalues tend to [Formula: see text].

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

The Buckling of a Circular Plate With a Concentric Circular Hot-Spot

1960 ◽  
Vol 64 (590) ◽  
pp. 105-106 ◽  
Author(s):  
K. I. McKenzie
Keyword(s):  
Critical Temperature ◽  
Circular Plate ◽  
Radial Stress ◽  
Hot Spot ◽  
Clamped Plate ◽  
Inverse Square Law ◽  
Cold Part

If a circular plate has a concentric circular hot area, there is a critical temperature for this area at which the plate buckles. This temperature is calculated in this note for the case of a clamped plate supported in such a way that the radial stress in the cold part obeys the inverse square law.

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