Interval uncertain method for multibody mechanical systems using Chebyshev inclusion functions - Wu, Jinglai; Luo, Zhen; Zhang, Yunqing; Zhang, Nong; Chen, Liping (International journal for numerical methods in engineering, 2013)
Keywords: Algebra; Chebyshev approximation; Chebyshev inclusion functions; DAEs; Dynamical systems; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Inclusions; interval method; Intervals; Linear and multilinear algebra, matrix theory; Mathematical analysis; Mathematical models; Mathematics; Mechanical systems; multibody dynamics; Nonlinear dynamics; Ordinary differential equations; Physics; Sciences and techniques of general use; Solid dynamics (ballistics, collision, multibody system, stabilization...); Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Uncertainty; multibody dynamics; Constraint; Differential equation; Supply; Solid dynamic; N body system; Probability distribution; Dynamical system; Modeling; Interval arithmetic; Uncertain system; DAEs; Linkage mechanism; Interval matrix; Pendulum; Monotonic function; Lower bound; Vibration; Probabilistic approach; Chebyshev polynomial; Chebyshev inclusion functions; Newton Raphson method; interval method; Upper bound; Mechanical system; Algebraic equation; Truncated shape; Non linear effect; Time integration