The paper is concerned with the dynamics of tie rods. The ties are made of a linear elastic material. The model of a tie member in the shape of a chain composed of a finite number of straight bars is presented. The equations are derived and an example of analysis of a tie system is shown. The obtained equations are strongly nonlinear. For determination of the initial configuration, an iteration method for solution of static equilibrium conditions of forces has been elaborated. The solution of differential equations of motion has been found by the modified Newmark’s method. The presented example is solved, using the author’s program.
The paper considers arbitrary large deflections of strings and connected with it coupling of vertical and horizontal displacements. Strings are made of a linearly elastic material. The physical model of a tie rod, equations and algorithm of their solutions as well as examples of string analysis are presented. Obtained results are compared to analytical solutions already known but for small displacements. Presented examples are calculated using an Author’s program.
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