By Jim Mesko
A- 26 Invader in motion - Squadron/Signal 1134 КНИГИ ;ВОЕННАЯ ИСТОРИЯ Издательство: Squadron/Signal courses Серия: plane 134 Название: A-26 Invader in motion Язык: English Год издания: 1993 Количество страниц: forty nine ISBN: 0-89747-296-9 Формат: pdf Размер: 10.8 mb eighty five
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In this chapter, we deal with cases in which the local and global coordinate systems are essentially the same except for translation of origin. In two- and three-dimensional cases, however, the distinctions are quite different and require mathematical rectiﬁcation of element coordinate systems to a common basis. The common basis is the global coordinate system. 1a, the ends of the spring are the nodes and the nodal displacements are denoted by u1 and u2 and are shown in the positive sense. If these nodal displacements are known, the total elongation or contraction of the spring is known as is the net force in the spring.
9) The compatibility conditions state the physical fact that the springs are connected at node 2, remain connected at node 2 after deformation, and hence, must have the same nodal displacement at node 2. Thus, element-to-element displacement continuity is enforced at nodal connections. 10b) and Here, we use the notation f node i. ( j) i f to represent the force exerted on element j at Hutton: Fundamentals of Finite Element Analysis 2. 10 is the equilibrium equations for each spring element expressed in terms of the speciﬁed global displacements.
And R. Mischke. Mechanical Engineering Design. New York: McGraw-Hill, 2001. 5. Forray, M. J. Variational Calculus in Science and Engineering. New York: McGraw-Hill, 1968. 2. 75 in. to the right. Also compute displacement of node 3. /in. /in. 5, forces F2 and F4 are to be applied such that the resultant force in element 2 is zero and node 4 displaces an amount Hutton: Fundamentals of Finite Element Analysis 2. Stiffness Matrices, Spring and Bar Elements Text © The McGraw−Hill Companies, 2004 Problems ␦ = 1 in.