Print Email Facebook Twitter Study on efficient numerical time-integration methods for simulation of multi-body systems Title Study on efficient numerical time-integration methods for simulation of multi-body systems Author ten Dam, A.A. Dieleman, P. Institution National Aerospace Laboratory NLR Date 1990-01-24 Abstract This report describes the results of an evaluation of numerical integration schemes to be used for the digital simulation of second order ordinary differential equations (ODE's) which are characteristic for multibody systems such as space manipulators. The study focuses on dedicated schemes for this type of systems. Main attention is paid to the Newmark and Wilson methods and the Nystrom version of the classical Runge-Kutta schemes. Simulations were carried out to illustrate advantages and disadvantages of the methods studied. Newmark type of numerical integration schemes are especially useful for long-period simulation when a relatively low order of accuracy is required. For high accuracy simulations with acceptable performance Runge-Kutta-Nystrom types of schemes are promising. Consequences of weak and strong system non-linearities on stability and accuracy of integration schemes have not been studied explicitly and are advised as topics for further research in the near future. Subject dynamic structural analysiscomputerized simulationnonlinear equationsdifferential equationsnumerical integrationRunge-Kutta methodnumerical stabilityalgorithmsdynamic modelsmany body problemmanipulatorsrobotics To reference this document use: http://resolver.tudelft.nl/uuid:79d384a0-cf7e-4e7f-8a9e-850afa51c521 Publisher Nationaal Lucht- en Ruimtevaartlaboratorium Access restriction Campus only Source NLR Technical Publication TP 90035 U Part of collection Aerospace Engineering Reports Document type report Rights (c) 1990 National Aerospace Laboratory NLR Files PDF 90035.pdf 68.9 MB Close viewer /islandora/object/uuid:79d384a0-cf7e-4e7f-8a9e-850afa51c521/datastream/OBJ/view