A General Multibody Approach for the Linear and Nonlinear Stability Analysis of Bicycle Systems. Part I: Methods of Constrained Dynamics
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JACM-7-2_026
تاریخ نمایه سازی: 9 خرداد 1400
Abstract:
This investigation is the first contribution of a two-part research work concerning the theoretical development of a multibody approach to analyze the constrained dynamics of articulated mechanical systems. In this paper, a method for investigating the linear and nonlinear stability of the dynamic behavior of mechanical systems modeled as multibody systems subjected to holonomic and nonholonomic constraints is presented. To this end, the nonlinear equations of motions that assume a complex index-three differential-algebraic form are systematically formulated and directly linearized by using an automatic procedure based on a hybrid symbolic-numeric approach devised in this work. The proposed stability analysis method, therefore, is based on the formulation of a generalized eigenvalue problem and represents a viable computer-aided approach suitable for analyzing multibody mechanical systems having different degrees of complexity. Furthermore, an extension of the generalized coordinate partitioning algorithm is introduced in this paper for handling nonholonomic multibody systems leading to a robust and general multibody computational procedure referred to as the Robust Generalized Coordinate Partitioning Algorithm (RGCPA). Since the methodologies employed in this paper to study the stability of multibody mechanical systems are general and versatile, they can be easily implemented in general-purpose multibody computer programs and readily used to analyze several mechanical applications having engineering interest.
Keywords:
Multibody System Dynamics , Holonomic and Nonholonomic Constraints , Robust Generalized Coordinate Partitioning Algorithm , Stability analysis
Authors
Carmine Maria Pappalardo
Department of Industrial Engineering, University of Salerno, Via Giovanni Paolo II, ۱۳۲, Fisciano, ۸۴۰۸۴, Salerno, Italy
Antonio Lettieri
Spin-Off MEID۴ s.r.l., University of Salerno, Via Giovanni Paolo II, ۱۳۲, Fisciano, ۸۴۰۸۴, Salerno, Italy
Domenico Guida
Department of Industrial Engineering, University of Salerno, Via Giovanni Paolo II, ۱۳۲, Fisciano, ۸۴۰۸۴, Salerno, Italy
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