Static, Vibration Analysis and Sensitivity Analysis of Stepped Beams Using Singularity Functions

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="7"><hr/></td></tr><tr class="thead"><td align="left" rowspan="2">Eigenvalues</td><td align="center" colspan="2">Simply supported beam</td><td align="center" colspan="2">Intermediate roller-supported beam</td><td align="center" colspan="2">Intermediate spring-supported beam</td></tr><tr class="thead"><td align="center">Finite element</td><td align="center">Singularity</td><td align="center">Finite element</td><td align="center">Singularity</td><td align="center">Finite element</td><td align="center">Singularity</td></tr><tr><td class="thead-hr" colspan="7"><hr/></td></tr><tr><td align="left"><span style="width: 15.8375px;"><svg height="16.3125" id="M192" style="vertical-align:-3.276pt" version="1.1" viewbox="0 0 15.8375 16.3125" width="15.8375" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></span></td><td align="center">7,816.99</td><td align="center">7,780.99</td><td align="center">97,610.8</td><td align="center">97,155.06</td><td align="center"><span style="width: 63.700001px;"><svg height="11.425" id="M193" style="vertical-align:-0.20474pt" version="1.1" viewbox="0 0 63.700001 11.425" width="63.700001" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></span></td><td align="center">97,770.24</td><td align="center">97,313.60</td><td align="center">402,356.6</td><td align="center">400,605.03</td><td align="center"><span style="width: 63.700001px;"><svg height="11.425" id="M196" style="vertical-align:-0.20474pt" version="1.1" viewbox="0 0 63.700001 11.425" width="63.700001" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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Result comparison for vibration analysis.

Journal of Structures

tab2

Table 2

Table 2: Static, Vibration Analysis and Sensitivity Analysis of Stepped Beams Using Singularity Functions 