Analysis of the high-frequency flexural modes of a rectangular elastic plate

1982 ◽  
Vol 18 (2) ◽  
pp. 164-168
Author(s):  
I. G. Rubtsova
1964 ◽  
Vol 68 (647) ◽  
pp. 773-773
Author(s):  
Bertrand T. Fang

The equation for the buckling of a homogeneous elastic plate is well known For a simply-supported rectangular plate without shear (Nxy=0), the critical loads are usually found by substituting into equation (1) and determining the loads at which nontrivial solutions exist. In the presence of shear, however, the difficulty with the above approach is that the shear term would involve cosines instead of sines.


1993 ◽  
Vol 30 (20) ◽  
pp. 2729-2741 ◽  
Author(s):  
M. Nakazawa ◽  
T. Iwakuma ◽  
S. Kuranishi ◽  
M. Hidaka

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Zhongchao Qiu ◽  
Jinquan Zhang ◽  
Yuntian Teng ◽  
Zhitao Gao ◽  
Li Hong

AbstractIt is critical for the health monitoring of large-scale structures such as bridge, railway and tunnel to acquire the medium-frequency and high-frequency vibration signals. To solve the problems of low sensitivity and poor transverse anti-interference of the medium-frequency and high-frequency fiber acceleration sensor, a hinge-type Fiber Bragg Grating(FBG) acceleration sensor based on double elastic plate has been proposed, and the hinge and elastic plate are used as elastomer to realize the miniaturization and transverse interference suppression of the sensor. The MATLAB and the ANSYS are used for theoretical analysis and optimization of sensor sensitivity and resonance frequency, structural static stress analysis and modal simulation analysis, while the test system is built to test the sensor performance. The results show that the resonance frequency of the sensor is 1300 Hz; the sensor has a flat sensitivity response in the middle-high frequency band of 200–800 Hz; the sensitivity is about 20 pm/g, and the fiber central wavelength drift and acceleration have good linearity and stability, while the transverse anti-interference is about 3.16%, which provides a new idea for monitoring of medium-frequency and high-frequency vibration signals in large-scale structures.


1952 ◽  
Vol 56 (502) ◽  
pp. 782-788 ◽  
Author(s):  
D. G. Ashwell

A previous paper was concerned with the uniform finite bending of a flat rectangular elastic plate about an axis parallel to one of its pairs of opposite edges. Expressions were obtained for the shape assumed by sections of the plate containing the axis of curvature, and the applied bending moment. In the present paper the work is extended to deal with a plate having shallow regular corrugations of arbitrary shape running along it at right angles to the axis of curvature. Such a plate may be of interest as it exhibits the type of instability characteristic of curved thin-walled members. Its solution can be derived quickly from the previous work.


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