NASA Technical Reports Server (NTRS) : A pdf

NASA Technical Reports Server (NTRS) : A

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A new integration algorithm which has the simplicity of Euler integration but exhibits second-order accuracy is described. In fixed-step numerical integration of differential equations for mechanical dynamic systems the method represents displacement and acceleration variables at integer step times and velocity variables at half-integer step times. Asymptotic accuracy of the algorithm is twice that of trapezoidal integration and ten times that of second-order Adams-Bashforth integration. The algorithm is also compatible with real-time inputs when used for a real-time simulation. It can be used to produce simulation outputs at double the integration frame rate, i.e., at both half-integer and integer frame times, even though it requires only one evaluation of state-variable derivatives per integration step. The new algorithm is shown to be especially effective in the simulation of lightly-damped structural modes. Both time-domain and frequency-domain accuracy comparisons with traditional integration methods are presented. Stability of the new algorithm is also examined

• Creator/s: NASA Technical Reports Server (NTRS
• Date: 12/15/1989
• Year: 1989
• Book Topics/Themes: NASA Technical Reports Server (NTRS), ALGORITHMS, COMPUTERIZED SIMULATION, DIFFERENTIAL EQUATIONS, INTEGERS, NUMERICAL INTEGRATION, DISPLACEMENT, EULER EQUATIONS OF MOTION, FLEXIBLE BODIES, FLIGHT SIMULATION, REAL TIME OPERATION, SYSTEMS INTEGRATION, TIME MARCHING, Howe, R. M

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