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Simultaneous Equations in Mechanics Solved by Iteration
Iteration (meaning “repetition”) stands for the process of successive approximations applied to the solution of simultaneous equations. A set of simultaneous equations may be characterized by a single equation such as, for instance, the well known equation of three moments for a continuous beam. Such an equation, with given boundary values, is easily solved by elimination or by determinants when the number of unknowns is small, say, eight or less, but requires less unwieldy methods when the number of unknowns is greater than eight.
Simultaneous Equations in Mechanics Solved by Iteration
Iteration (meaning “repetition”) stands for the process of successive approximations applied to the solution of simultaneous equations. A set of simultaneous equations may be characterized by a single equation such as, for instance, the well known equation of three moments for a continuous beam. Such an equation, with given boundary values, is easily solved by elimination or by determinants when the number of unknowns is small, say, eight or less, but requires less unwieldy methods when the number of unknowns is greater than eight.
Simultaneous Equations in Mechanics Solved by Iteration
Schwalbe, W. L. (author)
Transactions of the American Society of Civil Engineers ; 102 ; 939-956
2021-01-01
181937-01-01 pages
Article (Journal)
Electronic Resource
Unknown
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