Thermal and electrostatic analysis of multilayer composite structures.

摘要

Several steady-state thermal models are established in this dissertation as well as a transient one. An analytical steady-state three-dimensional temperature solution of a five-layer anisotropic plate structure is derived in Chapter Three. The solution is in the form of a double Fourier integration. To carry out the integration effectively, the characteristics of the transformed temperature in the Fourier domain have been studied. Subsequently, an integration algorithm was developed for the efficient numerical integration of the double Fourier inverse transform for temperature calculation.; A real-time thermal design method is proposed. By extending the five-layer model using the linear system approach, the point source thermal response of a specific structure is obtained.; An analytical three-dimensional transient temperature solution of a two-layer semi-infinite plate structure with embedded heat sources has been derived in Chapter Five. The derivation of the solution is verified by comparison with the steady-state temperature solution. A computer program has been written based upon the solution and the method of images.; Finally, a new technique for the complete electrostatic analysis of an anisotropic five-layer structure with electrodes is presented in Chapter Six. The microstrip electrode is first discretized into a number of segments, each with an unknown uniform charge density. For the structure with an elementary electrode of unity charge density, the solution for potential at any location inside the five-layer structure is derived using the Fourier integral transform technique. Using the superposition principle, the voltage on the electrode composed of elementary electrodes is then equal to the summation of the potentials contributed by all the elementary electrodes each having an unknown charge density. Consequently, we write a matrix equation to express the voltage values on the electrode as a function of the unknown charge densities. Furthermore, by using the superposition principle and the potential solution, the potentials and the electric fields at any location inside the structure can be computed. The effect of lateral boundaries is taken into account utilizing the method of images. Three application examples are provided to illustrate the method presented. (Abstract shortened with permission of author.)