Simulation of the Dynamic Behavior of a Bi-Cable Ropeway with Modal Bases

Abstract

This article presents the building of a dynamic model of a bi-cable ropeway. Thanks to the assumption of quasi-static advance of the vehicles, the calculation is performed step by step. At each step, a transient linearized dynamic solution is calculated around the quasi-static equilibrium using modal bases. The ropeway system is substructured considering the different elements: track rope, hauling rope and vehicles represented by pendulums. The results of time integration give the accelerations felt by the passengers according to the load case.

Structural Monitoring of an Aerial Tramway System During Operation: Modeling and Simulation Strategy with Experimental Data Validation

“…Vehicles are coupled with cables by a cart rolling without friction on the track rope and clamped on the haul loop. Suspended vehicle equilibrium equation is provided in [4] and is coupled with cables by the catenary tension given in the following form, for 𝑥 ∈ [𝑥 𝐴 , 𝑥 𝐵 ] 𝑇(𝑥) = μ𝑔τ 𝑐𝑜𝑠ℎ ( 𝑥 τ + 𝐾 1 ) . ( 4)…”

“…Design studies dedicated to standard cable transport system engineering applications are based on statics assumptions with the cable at rest [1,2,3]. On the other hand, their dynamics is widely studied in scientific literature in a simplified way without considering the entire system but only one cable portion, excluding cable translation movement [4], or several spans coupled by supports [5], with a cable translation velocity [6].…”

“…Inverse problem consists in finding 𝐩 such as 𝐇(𝐗, 𝐘 𝐨𝐛𝐬 , 𝐩) = 𝟎 . For the system application, 𝐩 = (𝛽, 𝛾) 𝑇 , 𝐘 𝐨𝐛𝐬 is the set of 4 cable slope measures α i = 𝑔 𝑖 (τ k , 𝐾 1𝑘 , 𝐾 2𝑘 ) , 𝑖 ∈[1,4], 𝑘 ∈ [1, 𝑛 𝑝𝑜𝑟𝑡𝑖𝑜𝑛 ] and Δ𝑑𝑜𝑐𝑘 value. Inverse problem can be reformulated as a minimization problem such as…”

Validation of the Velocity Optimization for a Ropeway Passing over a Support

“…Oscillations of cables and vehicles in ropeway applications play an important role, and there exists a rich literature about simulations of cable and vehicle vibrations [1][2][3][4][5][6][7][8][9][10][11][12]. Most investigations deal with the direct problem: given the geometry and the mechanical parameters, they consider the dynamics of the system.…”