Abstract
In the present paper, the cable-structures are considered as a class of mechanical complementary-slackness systems. Based on the optimization algorithms used for multi-body dynamics with unilateral contacts, an algorithm by means of artificial neural network (NNW) is developed. The following two classes of cable-structures have been considered force-elongation of cable member follows elastic behavior and work-hardening assumption. Due to simplicity the former is used to prove the method reliability, and the latter, as general cable-structure problem is handled. First, the complementarity problems for those structures have been formulated; then using generalized Gaussian‘ least action principle they are summarized as an optimization problem. Based on Hopfield’s work, an artificial NNW has been designed and used to decide combination of possible constraints at each step in simulation. As examples, two cable-structures have been investigated. The calculated results for a simple suspension structure evidence the reliability and time-economization of the proposed method. An example of guyed mast shows the suitability of the proposed method for practical cable-structures.
Highlights
The analysis of cable systems in the geometrically nonlinear range had been the object of a number of studies, for example, Greenberg [1], Jonatowski and Birnstiel [2], Murray and Willems [3] and Tene and Epstein [4]
The behavior of individual cables becomes highly nonlinear if slackening and plastic tensile strains intervene. This behavior of cable can be called physical nonlinearity. Because of this physical nonlinearity the cable-structure belongs to a class of mechanical systems with unilateral constraint
It was concluded that the assumption of elastic behavior (Fig. 1a) of the structure yields the largest tensions in the cables [7]
Summary
The analysis of cable systems in the geometrically nonlinear range had been the object of a number of studies, for example, Greenberg [1], Jonatowski and Birnstiel [2], Murray and Willems [3] and Tene and Epstein [4]. In [11] Panagiotopoulos considered inequality problems, which led him consistently to the development of hemivariational inequalities [13] His works established the mathematic base of modeling and algorithm on cable-structures. By means of common numerical method, if the number of cable members is equal to m, one must search for the real one among 2m possible combination of constraints and it consumes a large of time on computer. This is not suitable for calculating of a real construction. An example of guyed mast shows the suitability of the proposed method for practical cable-structures
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