Interval uncertain method for multibody mechanical systems using Chebyshev inclusion functions

• Published in: International journal for numerical methods in engineering Vol. 95; no. 7; pp. 608 - 630
• Main Authors: Wu, Jinglai, Luo, Zhen, Zhang, Yunqing, Zhang, Nong, Chen, Liping
• Format: Journal Article
• Language: English
• Published: Chichester Blackwell Publishing Ltd 17.08.2013; Wiley; Wiley Subscription Services, Inc
• Subjects: 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

SUMMARYThis study proposes a new uncertain analysis method for multibody dynamics of mechanical systems based on Chebyshev inclusion functions The interval model accounts for the uncertainties in multibody mechanical systems comprising uncertain‐but‐bounded parameters, which only requires lower and...