singularity functions

9 enes 220 assakkaf definition a singularity function

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Unformatted text preview: ION BY SINGULARITY FUNCTIONS (9.5 – 9.6) Singularity Functions Slide No. 9 ENES 220 ©Assakkaf Definition A singularity function is an expression for x n written as x − x0 , where n is any integer (positive or negative) including zero, and x0 is a constant equal to the value of x at the initial boundary of a specific interval along the beam. 5 Slide No. 10 LECTURE 16. BEAMS: DEFORMATION BY SINGULARITY FUNCTIONS (9.5 – 9.6) Singularity Functions ENES 220 ©Assakkaf Properties of Singularity Functions – By definition, for n ≥ 0, x − x0 n ( x − x0 )n = 0 when x ≥ x0 when x &lt; x0 (16) – Selected properties of singularity functions that are useful and required for beamdeflection problems are listed in the next slides for emphasis and ready reference. LECTURE 16. BEAMS: DEFORMATION BY SINGULARITY FUNCTIONS (9.5 – 9.6) Singularity Functions Slide No. 11 ENES 220 ©Assakkaf Selected Properties x − x0 n x − x0 0 ( x − x0 )n = 0 when n &gt; 0 and x ≥ x0 1 = 0 when n &gt;...
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This document was uploaded on 02/04/2014.

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