Application of ADM Using Laplace Transform to Approximate Solutions of Nonlinear Deformation for Cantilever Beam

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr class="thead"><td class="align_left"> Fractional order </td><td class="align_center"> Slope at 840 in. </td><td class="align_center"> Deformed length (in.) </td></tr><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td class="align_left"> 1.56</td><td class="align_center"> −0.185702 </td><td class="align_center"> 768.244392</td></tr><tr><td class="align_left">1.55</td><td class="align_center"> −0.102380 </td><td class="align_center"> 798.176219</td></tr><tr><td class="align_left">1.54</td><td class="align_center"> −0.023820 </td><td class="align_center"> 829.711010</td></tr><tr><td class="align_left">1.53</td><td class="align_center"> 0.050256 </td><td class="align_center"> 862.954991</td></tr><tr><td class="align_left">1.52</td><td class="align_center"> 0.120111 </td><td class="align_center"> 898.022706</td></tr><tr class="table-tr"><td colspan="3"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Values of slope at 840 in. and maximum vertical displacement for various fractional orders.

International Journal of Mathematics and Mathematical Sciences

tab2

Table 2

Table 2: Application of ADM Using Laplace Transform to Approximate Solutions of Nonlinear Deformation for Cantilever Beam 