Abstract
The chapter discusses the displacement and internal force of three types of uniformly distributed systems—elastic bars in longitudinal deformation, circular shafts in torsional deformation, and taut strings with lateral deflection. The chapter presents a toolbox that provides several MATLAB functions for determining the exact static response of second-order distributed systems subjected to external loads and boundary disturbances. The solution procedure takes three steps—setting up system parameters and boundary conditions by one of the functions setbar, setshaft, and setstring; determining the system response by functions force2os and bd2os; and plotting computed response by function plot2os. When a second-order system is subjected to both external loads and boundary disturbances, the total static response of the system is obtained by the principle of superposition—y = force2os (Load_Spec) + bd2os (BD_Spec); plot2os (y). The chapter discusses toolbox, based on the distributed transfer function method (DTFM), which is an exact analytical modeling and solution method for many distributed systems including bars, shafts, strings, and beams.
Published Version
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