This paper investigates a time-stepping procedure of the Newmark type for dynamic analyses viscoelastic structures characterized by generalized Maxwell model. We depart from scheme developed three-parameter model Hatada et al. [1], which we extend to generic chain and demonstrate that resulting algorithm can be derived suitably discretized Hamilton variational principle. structure manifests its...

This paper is concerned with the convergence analysis of PH heterogeneous asynchronous time integrators algorithm, proposed by Prakash and Hjelmstad [ Int. J. Numer. Methods Eng. 61 (2004) 2183–2204], devoted to transient dynamic problems for structural analysis. According method, discretization performed using well-known Newmark schemes, where step ratio, i.e. , ratio macro micro step, two sub...

This paper focuses on methods of constructing of reduced-order models of mechanical systems which preserve the Lagrangian structure of the original system. These methods may be used in combination with standard spatial decomposition methods, such as the Karhunen–Loève expansion, balancing, and wavelet decompositions. The model reduction procedure is implemented for three-dimensional finite-elem...

Associate Professor, Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Newmark Laboratory, 205 North Mathews Avenue, Urbana, IL 61801, USA Email: [email protected] Undergraduate Student, Department of Aeronautical Engineering, University of Illinois at Urbana-Champaign, Talbot Laboratory, Urbana, IL 61801, USA Email: [email protected] Associate Professo...

When a finite group G acts faithfully on a graded integral domain S which is an algebra over a field k, such as a polynomial ring, we consider S as a kG-module. We show that S is asymptotically mostly projective in each degree, and also that it is in fact mostly free in an appropriate sense. Similar results also hold for filtered algebras, such as power series rings.