The model of a carrying rope under in-service loads is developed to analyze dynamic response of the cable during ropeway operation including: start conditions while carriers leave the station, steady ride, an emergency stop of a system. The pendulum model of a moving passenger carrier is formulated to define loads acting on the cable. Equations of motion of the cable loaded by moving pendulums are derived by applying Ritz approximate method and Lagrangian description of motion. Some numerical results are presented to illustrate applicability of proposed method in an investigation of carrying cable vibrations.
The dynamic continuous model of a carrying rope for circulating bicable aerial ropeway is formulated. To describe nonlinear in-plane vibrations excited by moving masses of passenger cabins a closed form model with Green-Lagrange deformation is developed. The equations of motion of the system are derived on the basis of Lagrange equations with Ritz approximation of cable displacements applied. Numerical example of linear and nonlinear cable vibrations is presented.
Problems of structural modeling of multi-span bicable ropeway systems due to significant inclination of a track are discussed in this paper with reference to the vibration analysis. The analytical continuous model of a cableway is formulated in a form which enables to describe in-plane vibrations of steeply inclined carrying cable subjected to traveling passenger carriers modeled by moving pendulums. The nonlinear interaction between carrying cable and moving carriers is taken into account in the moving load definition. Effects of a steep track slope are discussed on the basis of equations of motion of the system.
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