Virtual work is the work done by the forces acting on a mechanical system when each mass point in the system is subjected to a virtual displacement. For example, in a system of n mass points, when each mass point is subjected to a virtual displacement δ r i =(δ x i , δ y i , δ z i ), the work done by the force F i =( X i , Y i , Z i ) acting on each mass point is virtual work, where i = 1, 2, ..., n . When a mass system is described in generalized coordinates q 1 , q 2 , ..., q m , the virtual work when a virtual displacement δ q j ( j = 1, 2, ..., m ) is given is If Q j is expressed as a general force, then Q j is called a general force. Source: Encyclopaedia Britannica Concise Encyclopedia About Encyclopaedia Britannica Concise Encyclopedia Information |
力学系の各質点に仮想変位をさせたときに,系に働いている力がなす仕事。たとえば n 個の質点の系で,各質点に仮想変位 δri=(δxi,δyi,δzi) をさせるとき,各質点に働く力 Fi=(Xi,Yi,Zi) がする仕事が仮想仕事である。ただし,i=1 ,2,…,n である。 質点系を一般座標 q1 ,q2 ,…,qm で記述するとき,仮想変位 δqj ( j=1 ,2,…,m ) を与えたときの仮想仕事が と表わされるならば,Qj を一般力という。 出典 ブリタニカ国際大百科事典 小項目事典ブリタニカ国際大百科事典 小項目事典について 情報 |
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