Computer-Aided Modeling and Simulation for Recreational Waterslides#

This paper presents a computer-aided modeling and simulation method for analyzing position, velocity, and acceleration of sliding objects on recreational waterslides. Safety and excitement levels of the object sliding down the waterslide are the two common criteria for waterslide design. Between the two, safety is far more critical than excitement level. Safety aspects of the waterslide design can be reasonably ensured; by restricting the sliding object, which stays within the physical boundary of the flume sections. In this paper, mathematical representations of a number of common flume sections are first created in parametric surfaces. These basic building blocks have also been implemented in Computer-Aided Design (CAD) tools, such as SolidWorks. A set of coupled differential equations based on Lagrange's equations of motion that describe the motion of the sliding object are derived, in which friction forces are included. These second order differential equations are then solved using Mathemati...