The refined theory of transversely isotropic beam is analyzed. Based on the transversely isotropic thermoporoelastic theory, a refined theory for bending beam is derived using the general solution and the Lur'e method without ad hoc assumptions. First, the expressions for all of the displacements and stress components of a transversely isotropic thermoporoelastic beam were obtained in terms of four functions with one independent variable. Second, using homogeneous boundary condition, the refined equation and the decomposed form of the thermoporoelastic beam were obtained. Finally, the approximate equations and solutions for the beam under general anti-symmetric loadings were derived from the refined theory.
In this paper, the axisymmetric general steady-state solution for porous media is presented. And the completeness of the P-Ns representation for the axisymmetric displacement field equation is proved directly from the equations governing the displacement field, which can be applied to homogeneous and isotropic poroelastic materials. At last, the Boussinesq general solution and Timpe general solution are obtained from P-N General Solution.
Abstract. With the constant development in the fields of Greenness, Environmental Protection and Energy Conservation all over the world, the improvement of foam cement technology is to bring about a revolution in the architectural material industry. The main component of the cement foaming machine is the delivery pump system, in which the peristaltic pump is the most important part. In this thesis, on the bases of study of peristaltic pump in imported machines, mathematical models are made and an approximate calculation of flow rate of the peristaltic pump is given through exhaustive analyses of the structure and the changes in the cross section before and after compression rolling. This research will also make it possible to analyze the pressure in the exit of the pump and deduce the power needed by the driven peristaltic pump according to the factors like the calculation of on-way pressure loss with the consideration of working altitude. This research is expected to provide a theoretic principle for the development of cement foaming technology.
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