Low‐frequency scatter from a thin rough elastic plate: Theory and experiment

1989 ◽  
Vol 86 (S1) ◽  
pp. S104-S104
Author(s):  
Ivan Tolstoy
Keyword(s):  
Elastic Plate ◽  
Plate Theory ◽  
Low Frequency ◽  
Theory And Experiment

Transient waves in an elastic plate: Theory and experiment compared

1983 ◽  
Vol 74 (6) ◽  
pp. 1905-1907 ◽  
Author(s):  
T. M. Proctor ◽  
F. R. Breckenridge ◽  
Y. H. Pao
Keyword(s):  
Elastic Plate ◽  
Plate Theory ◽  
Transient Waves ◽  
Theory And Experiment

General Solutions for the Statics of Anisotropic, Transversely Inhomogeneous Elastic Plates in Terms of Complex Functions

2006 ◽  
Vol 11 (6) ◽  
pp. 596-628 ◽  
Author(s):  
Kostas P. Soldatos
Keyword(s):  
General Solution ◽  
Elastic Plate ◽  
Plate Theory ◽  
High Order ◽  
Transverse Strain ◽  
Elastic Plates ◽  
General Solutions ◽  
Material Inhomogeneity ◽  
Complex Functions ◽  
Anisotropic Elastic

This paper develops the general solution of high-order partial differential equations (PDEs) that govern the static behavior of transversely inhomogeneous, anisotropic, elastic plates, in terms of complex functions. The basic development deals with the derivation of such a form of general solution for the PDEs associated with the most general, two-dimensional (“equivalent single-layered”), elastic plate theory available in the literature. The theory takes into consideration the effects of bending–stretching coupling due to possible un-symmetric forms of through-thickness material inhomogeneity. Most importantly, it also takes into consideration the effects of both transverse shear and transverse normal deformation in a manner that allows for a posteriori, multiple choices of transverse strain distributions. As a result of this basic and most general development, some interesting specializations yield, as particular cases, relevant general solutions of high-order PDEs associated with all of the conventional, elastic plate theories available in the literature.

Correction: Natural Frequencies of a Heated Plate: Theory and Experiment

AIAA Journal ◽  
2021 ◽  
pp. 1-1
Author(s):  
Maxim Freydin ◽  
Dani Levin ◽  
Earl H. Dowell ◽  
Santosh Vaibhav Varigonda ◽  
Venkateswaran Narayanaswamy
Keyword(s):  
Natural Frequencies ◽  
Plate Theory ◽  
Heated Plate ◽  
Theory And Experiment

scholarly journals Realization of mutually unbiased bases for a qubit with only one wave plate: theory and experiment

2015 ◽  
Vol 23 (8) ◽  
pp. 10018 ◽  
Author(s):  
Zhibo Hou ◽  
Guoyong Xiang ◽  
Daoyi Dong ◽  
Chuan-Feng Li ◽  
Guang-Can Guo
Keyword(s):  
Plate Theory ◽  
Mutually Unbiased Bases ◽  
Wave Plate ◽  
Theory And Experiment

scholarly journals Vibration Bandgaps of Piezoelectric Metamaterial Plate with Local Resonators for Vibration Energy Harvesting

2019 ◽  
Vol 2019 ◽  
pp. 1-15 ◽  
Author(s):  
Zhongsheng Chen ◽  
Jing He ◽  
Gang Wang
Keyword(s):  
Energy Harvesting ◽  
Plate Theory ◽  
Ritz Method ◽  
Low Frequency ◽  
Structural Vibration ◽  
Vibration Energy ◽  
Vibration Energy Harvesting ◽  
Bottle Neck ◽  
Self Powered

Embedded wireless sensing networks (WSNs) provide effective solutions for structural health monitoring (SHM), where how to provide long-term electric power is a bottle-neck problem. Piezoelectric vibration energy harvesting (PVEH) has been widely studied to realize self-powered WSNs due to piezoelectric effect. Structural vibrations are usually variable and exist in the form of elastic waves, so cantilever-like harvesters are not appropriate. In this paper, one kind of two-dimensional (2D) piezoelectric metamaterial plates with local resonators (PMP-LR) is investigated for structural vibration energy harvesting. In order to achieve low-frequency and broadband PVEH in SHM, it is highly necessary to study dynamic characteristics of PMP-LR, particularly bandgaps. Firstly, an analytical model is developed based on the Kirchhoff plate theory, and modal analysis is done by using the Rayleigh–Ritz method. Then, effects of geometric and material parameters on vibration bandgaps are analyzed by finite element-based simulations. In the end, experiments are carried out to validate the simulated results. The results demonstrate that the location of bandgaps can be easily adjusted by the design of local resonators. Therefore, the proposed method will provide an effective tool for optimizing local resonators in PMP-LR.

Response of a Plate Supported by a Fluid Half Space to a Moving Pressure

1970 ◽  
Vol 37 (4) ◽  
pp. 1050-1054 ◽  
Author(s):  
D. H. Y. Yen ◽  
C. C. Chou
Keyword(s):  
Half Space ◽  
Elastic Plate ◽  
Plate Theory ◽  
Fluid Pressure ◽  
Integral Transforms ◽  
Classical Plate Theory ◽  
Plate Deflection

The response of an elastic plate supported by a fluid half space to a steadily moving pressure is studied. The Timoshenko plate theory is used in the study. By the method of integral transforms, solutions for both the plate deflection and the interaction fluid pressure are obtained. The results are then compared in detail with those obtained previously using the classical plate theory.

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