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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Holonomic constraints ： ウィキペディア英語版 Holonomic constraints In classical mechanics, holonomic constraints are relations between the position variables (and possibly time) which can be expressed in the following form: $f(q\_1,\; q\_2,\; q\_3,\backslash ldots,\; q\_,\; t)\; =\; 0$, where $\backslash$ are the n coordinates which describe the system. For example, the motion of a particle constrained to lie on the surface of a sphere is subject to a holonomic constraint, but if the particle is able to fall off the sphere under the influence of gravity, the constraint becomes non-holonomic. Velocity-dependent constraints such as $f(q\_,q\_,...,q\_,\backslash dot\_,\backslash dot\_,...,\backslash dot\_,t)=0$ are not usually holonomic. ==Holonomic system (physics)== In classical mechanics a system may be defined as holonomic if all constraints of the system are holonomic. For a constraint to be holonomic it must be expressible as a function: :$f(x\_1,\backslash \; x\_2,\backslash \; x\_3,\backslash \; \backslash dots,\backslash \; x\_N,\backslash \; t)=0,\; \backslash ,$ i.e. a holonomic constraint depends only on the coordinates $x\_j\backslash ,\backslash !$ and time $t\backslash ,\backslash !$ . It does not depend on the velocities. A constraint that cannot be expressed in the form shown above is a nonholonomic constraint. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Holonomic constraints」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.