Solutions of dynamic and acoustic responses of a clamped rectangular plate in thermal environments
TL;DR: In this article, a set of double sinusoidal mode shape functions for fully clamped boundaries is used to describe the displacement distribution of a clamped rectangular thin plate in thermal environments.
Abstract: This work presents an investigation of vibration and acoustic response characters of a clamped rectangular thin plate in thermal environments. The general form of governing equation of plate flexural vibration with considering thermal loads is established, and the influence of uniform temperature change on response characters is studied in detail. A set of double sinusoidal mode shape functions for fully clamped boundaries is used to describe the displacement distribution. The governing equation is solved with Fourier series expansion to discuss the natural vibration and dynamic responses of a clamped plate in thermal environments. Accordingly, acoustic radiation characteristics are obtained based on Rayleigh integral. Results show that natural frequencies decrease with the increment of plate temperature, and the first natural frequency is much more sensitive to thermal environment changes. Response curves of plate vibration and radiated sound power shift toward lower frequency range, and the response amp...
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TL;DR: In this paper, the authors focused on the vibration and acoustic responses of the sandwich panels constituted of orthotropic materials applied a concentrated harmonic force in a high temperature environment and derived the critical temperature to prevent the thermal load excess.
61 citations
TL;DR: In this paper, the buckling and vibro-acoustic response of the clamped composite laminated plate excited by a concentrated harmonic force in the thermal environment is analyzed for fully clamped boundary condition.
43 citations
TL;DR: In this paper, the vibration and sound radiation characteristics of functionally graded materials (FGM) plates subjected to thermal environment are investigated analytically, and the effects of temperature dependent material properties, material distribution, thermal field and temperature rise on the sound radiation of the FGM plates are studied.
37 citations
TL;DR: In this article, the authors investigated the vibration and sound radiation of porous functionally graded material (FGM) plates with temperature gradient along the thickness, and the effects of key parameters including the boundary condition, volume fraction index, thermal environment, temperature dependence of material properties and porosity volume fraction on the structural and acoustic responses of the FGM plate are discussed in detail.
37 citations
TL;DR: A review study is established in order to gather, classify and organize all of the previous researches on the sound insulation characteristics of plate structures with span a period from 1967 to nowadays.
Abstract: In this contribution, a review study is established in order to gather, classify and organize all of the previous researches on the sound insulation characteristics of plate structures with span a period from 1967 to nowadays. Accordingly, more than 200 articles in the area of acoustic performance of these structures are rolled up and reviewed. To achieve this end, in the first step, all of the existence papers are categorized and classified based on the thematic correspondent. Herewith, not only some appropriate descriptions about the importance of the issue are given but also a series of basic equations and generalities in this field are developed. The paper is then conducted to focus on the various theories in order to present the reliable results according to thickness of structures. In this regard, different theories including classical, shear deformation and three-dimensional are highlighted. To extend the review, a comprehensive explanation is provided with emphasis on the type of materials such as composite, isotropic and functionally graded. It is useful to note that sandwich plate structures with their subdivisions are also set in this group. Consequently, the structures are organized according to their boundary conditions. Besides, the importance of type of incident field is inspected, too. Subsequently, in order to remark the methods employed by the researchers, the works are reviewed based on their solution techniques. Before concluding remarks, the remained papers are classified on the basis of various procedures such as optimization and control of sound transmission through plate structures.
35 citations
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01 Jan 1936
8,152 citations
"Solutions of dynamic and acoustic r..." refers background or methods in this paper
...The critical buckling load of plates with in-plane loads can be obtained by solving the static governing equation as (Timoshenko and Gere, 1985) D0r4w ¼ Nx @2w @x2 þNy @2w @y2 þ 2Nxy @2w @x@y ð22Þ Substituting equations (2), (9), and (15) into equation (22), and applying the mode shape function…...
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...The critical buckling load of plates with in-plane loads can be obtained by solving the static governing equation as (Timoshenko and Gere, 1985)...
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TL;DR: In this article, a statistical method for estimating the response of ribbed panels to acoustic excitation is discussed, where the acceleration spectrum of the vibrational field is related to the pressure spectrum by a coupling factor which is a simple function of the radiation and mechanical resistance of the structure.
Abstract: A statistical method for estimating the response of ribbed panels to acoustic excitation is discussed. It is shown that the acceleration spectrum of the vibrational field is related to the pressure spectrum by a coupling factor which is a simple function of the radiation and mechanical resistance of the structure. The radiation resistance of a ribbed panel is studied as a function of frequency. The analysis predicts that ribbing increases the radiation resistance of the panel and hence its coupling to the acoustic field. The effect of various panel‐rib boundary conditions is also considered. The results of experiments which were conducted to test the theory are reported. The agreement between theory and experiments is shown to be satisfactory.
469 citations
"Solutions of dynamic and acoustic r..." refers methods in this paper
...Maidanik (1962) studied the acoustic response of a ribbed panel with a statistical method in the whole frequency range....
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TL;DR: In this article, the authors derived the radiation resistance of a finite rectangular panel from the total energy radiated to the far field, assuming that the panel is assumed to be supported in an infinite baffle.
Abstract: The radiation resistance corresponding to the natural modes of a finite rectangular panel is theoretically determined from the total energy radiated to the farfield. The panel is assumed to be simply supported in an infinite baffle. Asymptotic solutions for the low‐frequency region are derived, and curves covering the entire frequency range for various mode shapes and aspect ratios are obtained through numerical integration. When the ratio of the acoustic wavenumber to the panel wavenumber is a constant much less than unity, the radiation resistance for all modes is a minimum if the intranodal area (the area between adjacent node lines) is square, and increases with the aspect ratio of the intranodal area.
383 citations
"Solutions of dynamic and acoustic r..." refers background in this paper
...Compared well with Wallace (1972), the efficiency shows gradual increment and waviness below the critical frequency fc, about 4330Hz for this plate....
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...Wallace (1972) investigated mode radiation resistance of a finite rectangular panel using the total radiated energy....
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TL;DR: In this paper, a theoretical method is developed to investigate vibration characteristics of initially stressed functionally graded rectangular plates made up of metal and ceramic in thermal environment, where material properties are assumed to be temperature dependent, and vary continuously through the thickness according to a power law distribution in terms of the volume fraction of the constituents.
270 citations
"Solutions of dynamic and acoustic r..." refers methods in this paper
...Email: liyueming@mail.xjtu.edu.cn Received: 27 January 2014; accepted: 26 May 2014 Kim (2005) developed an analytical method to study the vibration behavior of functionally graded rectangular plates in thermal environments....
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TL;DR: In this article, the authors presented numerical studies on the vibration and acoustic response characteristics of a fiber-reinforced composite plate in a thermal environment by considering the inherent material damping property of the composite material.
129 citations
"Solutions of dynamic and acoustic r..." refers methods in this paper
...They also investigated the vibration and acoustic responses of composite plates in thermal environments with the same method (Jeyaraj et al., 2009)....
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