Abstract

Cables, wires and fibres can be advantageously used in the design of many machines. One of the most interesting applications is the replacement of the chosen rigid elements of a manipulator or a mechanism with cables. A simple inverted pendulum attached to a frame by two fibres serves as a testing system for the investigation of the influence of fibres properties on the system dynamic response. The motion of the pendulum of this nonlinear system is investigated using an in-house software created in the MATLAB system and using the alaska simulation tool. Two types of fibre models are considered—a massless model and a point-mass model. The equation of motion based on the massless approach is studied in terms of solution existence and its uniqueness. Dynamic quantities are numerically investigated in dependence on the excitation frequency including the investigation of the possibilities of the possible pendulum unstable behaviour.

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