Weak formulation and first order form of the equations of motion for a class of constrained mechanical systems

• Published in: International journal of non-linear mechanics Vol. 77; pp. 208 - 222
• Main Authors: Paraskevopoulos, Elias, Natsiavas, Sotirios
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.12.2015
• Subjects: Derivatives; Differential equations; Dynamic response; Dynamical systems; Equations of motion; Hamilton׳s canonical equations; Holonomic and non-holonomic constraints; Integrable and non-integrable variations; Mathematical analysis; Mathematical models; Mechanical systems; Newton׳s law of motion; Strong and weak form of equations of motion; Hamilton׳s canonical equations; Strong and weak form of equations of motion; Integrable and non-integrable variations; Holonomic and non-holonomic constraints; Newton׳s law of motion

Some new theoretical results are presented on modeling the dynamic response of a class of discrete mechanical systems subject to equality motion constraints. Both the development and presentation are facilitated by employing some fundamental concepts of differential geometry. At the beginning, the e...