scholarly journals Influence of Boundary Conditions on Sound Radiation Characteristic from Rectangular Plates

2007 ◽  
Vol 26 (2) ◽  
pp. 115-133 ◽  
Author(s):  
Yufeng Qiao ◽  
Qibai Huang ◽  
Linling Li
Keyword(s):  
Boundary Conditions ◽  
Analytical Method ◽  
Numerical Experiments ◽  
Sound Radiation ◽  
Radiation Characteristic ◽  
Transverse Displacement ◽  
Rectangular Plates ◽  
Different Boundary Conditions ◽  
Displacement Response ◽  
Different Types

The influence of boundary conditions on the sound radiation characteristic from rectangular plates is studied in this paper. Using an analytical method, the transverse displacement response of vibrating rectangular plates is presented. Some numerical experiments are also done. Five different types of boundary conditions are analyzed and calculated as examples for comparing the influence of different boundary conditions. Rectangular plates under different force points and different thicknesses are also studied for further verifying the influence of boundary conditions.

Research on the Water Absorbent Laws of Injection Wells Formation

2014 ◽  
Vol 1006-1007 ◽  
pp. 83-87
Author(s):  
Zhong Guo Wang ◽  
Guang Yu Zhang ◽  
Yi Qing Li ◽  
De Kai Zhou ◽  
Wen Ping Song
Keyword(s):  
Boundary Conditions ◽  
Coupling Effect ◽  
Oil Production ◽  
Reservoir Model ◽  
Injection Wells ◽  
Different Boundary Conditions ◽  
Different Types ◽  
Key Factor ◽  
Bottomhole Pressure

Layered injection commissioning technology has become a key factor to the oil production. For different types of formations, the paper analyzes the absorbent law in different homogeneous formations with different boundary conditions. The paper also creates a composite reservoir model, and then describes changes of absorbent law under coupling effect. The method to do all of the above work is to solve the equation of dimensionless bottomhole pressure in different formation and boundary conditions.

Development of Hybrid Semi-Analytical and Finite Element Analysis to Calculate Sound Radiation from Vibrating Structure

2013 ◽  
Vol 845 ◽  
pp. 71-75 ◽  
Author(s):  
Azma Putra ◽  
Nurain Shyafina ◽  
Noryani Muhammad ◽  
Hairul Bakri ◽  
Noor Fariza Saari
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Boundary Conditions ◽  
Rectangular Plate ◽  
Analytical Model ◽  
Complex Geometry ◽  
Sound Radiation ◽  
Vibration Velocity ◽  
Rectangular Plates ◽  
Element Analysis

Simple analytical model of plate dynamics usually applies for rectangular plate with simply supported edges. Analytical model of sound radiation from rectangular plate is also convenient, but not for other geometries and other boundary conditions. This paper presents a hybrid mathematical model which combines a semi-analytical model with the Finite Element Analysis (FEA) method to determine sound radiation from a vibrating structure. The latter is employed to calculate the vibration velocity of a structure with a rather complex geometry. The results are then used as the input in the semi-analytical model to calculate the radiated sound pressure through the Rayleigh integral. Results from the proposed model are presented here for the radiation efficiency of rectangular plates with different boundary conditions.

An exact solution for free vibration of thin functionally graded rectangular plates

2010 ◽  
Vol 225 (3) ◽  
pp. 526-536 ◽  
Author(s):  
A Hasani Baferani ◽  
A R Saidi ◽  
E Jomehzadeh
Keyword(s):  
Free Vibration ◽  
Boundary Conditions ◽  
Natural Frequencies ◽  
Equations Of Motion ◽  
Vibration Characteristics ◽  
Functionally Graded ◽  
Mode Shapes ◽  
Rectangular Plates ◽  
Functionally Graded Plates ◽  
Different Boundary Conditions

The aim of this article is to find an exact analytical solution for free vibration characteristics of thin functionally graded rectangular plates with different boundary conditions. The governing equations of motion are obtained based on the classical plate theory. Using an analytical method, three partial differential equations of motion are reformulated into two new decoupled equations. Based on the Navier solution, a closed-form solution is presented for natural frequencies of functionally graded simply supported rectangular plates. Then, considering Levy-type solution, natural frequencies of functionally graded plates are presented for various boundary conditions. Three mode shapes of a functionally graded rectangular plate are also presented for different boundary conditions. In addition, the effects of aspect ratio, thickness—length ratio, power law index, and boundary conditions on the vibration characteristics of functionally graded rectangular plates are discussed in details. Finally, it has been shown that the effects of in-plane displacements on natural frequencies of functionally graded plates under different boundary conditions have been studied.

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