Zdzisław Pawlak

DIFFERENCE EQUATION METHOD FOR STATIC PROBLEM OF INFINITE DISCRETE STRUCTURES

Abstract The static problem of infinite, regular systems is considered. The structures are treated as discrete ones. The equilibrium conditions are derived using the FEM formulation. The set of infinite number of equilibrium conditions is replaced by one equivalent difference equation and solved in analytical form.

Dynamic Analysis of Irregular Multistorey Shear Wall Buildings Using Continuous-Discrete Approach

The paper presents an analysis of coupled flexural-torsional vibrations of multi-storey shear wall buildings using continuous-discrete approach. A dynamic model with masses in the form of rigid floor slabs has been adopted. The mass matrix is generated exactly, according to real layout of walls, connecting beams and floor slabs. The flexibility matrix is generated on the basis of the solution of the governing differential equations for a three-dimensional continuous model. In order to verify the presented method, for the first example the free vibration analysis of non-planar, non-symmetrical coupled shear walls, previously analysed in the literature by SAP2000 program, has been chosen. In the second example, the possibility of seismic location of the multistorey building, designed originally in Poznan, stiffened by the asymmetrical system of coupled shear walls, was considered. The analysis, in which a continuous-discrete approach and the response spectrum technique were applied, was carried out by means of DAMB (Dynamic Analysis of Multistorey Buildings) program. The presented method is efficient and can be useful at the preliminary design stage when the solutions for a structure with many various geometrical and physical arrangements are required.

Solution of stability problem of infinite plate strips

The aim of the paper is to solve a stability problem of infinite plate strips using the finite strip method (FSM). Contrary to well-known solutions for 2D continuous systems the authors present an idea for solving a stability problem of infinite discrete plates.