A uniqueness theorem is proved for the weak solution of the Cauchy problem for an infinite thermoelastic plate with transverse shear deformation. The problem for the homogeneous version of the governing system of equations is then studied by means of some special initial potentials. This is a fundamental step in the construction of a potential theory for dynamic problems for thermoelastic plates, since its results make it possible to reduce various initial boundary value problems to their analogs with homogeneous initial conditions, which, in turn, may then be solved by means of dynamic (retarded) potentials.
SUMMARYThe Cauchy problem for an inÿnite thermoelastic plate with a non-homogeneous governing system and homogeneous initial conditions is solved by means of an area potential. This is the ÿrst step in the construction of a potential theory for time-dependent problems for thermoelastic plates, enabling the reduction of various initial-boundary value problems to their versions for the homogeneous system of equations with homogeneous initial conditions, which, in turn, may then be solved by means of dynamic potentials.
Initial-boundary value problems for bending of a thermoelastic plate with transverse shear deformation are studied under the assumption that various parts of the boundary are subjected to different types of physical conditions. The unique solvability of these problems is established in spaces of distributions by means of a combination of the Laplace transform and variational methods. 2005 Elsevier Inc. All rights reserved.
This contribution presents the design and evaluation of a simple and economic device for experimental verifi cation of the theory of multi-degree-of-freedom vibration systems. The experimental verifi cation of the theory can be carried out, in its most basic way, with the sole help of a tachometer. Of course, if more sophisticated instrumentation is available, it is possible to obtain additional data that verify more thoroughly the theory of the systems at hand. The device is designed so that it can be easily constructed with a small investment, less that $1500, well within the reach of even the less favored universities or technical schools.
In this paper we present a new design of mechanisms laboratory which permits to analyze and design planar mechanisms like the four-bar mechanism and the slider mechanism, plus its variables with one degree of freedom (1 DOF). This design we call Didactical Set for the Analysis and Synthesizes of Mechanisms (DSASM) or BDASM, as its initials in Spanish language. This laboratory combines mechanical design, electronics, and programming skills to offer more abilities for develop mechanisms and automation programming. This set has various advantages: Easy to assemble mechanisms, Easy to control, has Data acquisition and is comfortable.
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