The unimportance of the spurious root of time integration algorithms for structural dynamics

• Published in: Communications in numerical methods in engineering Vol. 10; no. 8; pp. 591 - 597
• Main Authors: Hulbert, G. M., Chung, J.
• Format: Journal Article
• Language: English
• Published: Sussex John Wiley & Sons, Ltd 01.08.1994; Wiley
• Subjects: Exact sciences and technology; Fundamental areas of phenomenology (including applications); Physics; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Vibrations and mechanical waves; Time dependence; Mechanical vibrations; Numerical solution; Structural analysis; Quadratures

Most commonly used second‐order‐accurate, dissipative time integration algorithms for structural dynamics possess a spurious root. For an algorithm to be accurate, it has been suggested that the spurious root must be small and ideally be zero in the low‐frequency limit. In the paper we show that goo...