![]() ![]() To illustrate the proposed material, an example of a one-link flexible arm intercepting and capturing a moving target is considered. Based on this equation and the constraints, the methods of quasivelocities and Lagrangian multipliers are adopted and interpreted for the finite motion of hybrid parameter models of mechanical systems and the methods of independent quasivelocity variations and Lagrangian multipliers are introduced for the analysis of impulsive motion of such models. The fundamental dynamic equation of constrained systems is developed in terms of velocity variations (Jourdain's principle). A large group of finite and impulsive, generally non-holonomic, constraints are analysed in detail and a so-called extended Appellian classification is presented for these constrained motion problems. Another term is finite burn, where the word 'finite' is used to mean 'non-zero', or practically, again: over a longer period. Emphasis is given to the general case when a mechanical system is described by a hybrid (discrete-distributed) parameter model. ![]() Read more Impulsive Tensions When a string jerks, equal and opposite tension act suddenly at each end. There is no clear boundary between an impulsive and Non-Impulsive force. 'Non-impulsive' refers to the momentum changing slowly over a long time, as in electrically powered spacecraft propulsion, rather than by a short impulse. An impulsive force can change the momentum of a body in a finite magnitude in a very short time. According to Newtons Second Law of Motion - force can be expressed as. Emphasis is given to the general case when a mechanical system is described by a hybrid (discrete-distributed) parameter model. Applying a low thrust over a longer period of time is referred to as a non-impulsive maneuver. 'Non-impulsive' refers to the momentum changing slowly over a long time, as in electrically powered spacecraft propulsion, rather than by a short impulse. The main purpose of this paper is to present a unified analytical dynamics framework for the analysis of finite and impulsive motion of mechanical systems using Jourdain's principle. Applying a low thrust over a longer period of time is referred to as a non-impulsive maneuver. ![]()
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