Error Modeling and Sensitivity Analysis of a Five-Axis Machine Tool

<table>Sensitivities of <svg height="15.65" id="M333" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 25.924999 15.65" width="25.924999" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.362)"><path d="M600 0h-557v24l268 633l28 8l261 -641v-24zM497 50l-194 489l-196 -489h390z" id="x394"></path></g><g transform="matrix(.017,-0,0,-.017,10.959,11.362)"><path d="M20 461h192v-69q25 44 55.5 62.5t75.5 18.5q86 0 133.5 -58t47.5 -166q0 -119 -52 -190q-51 -72 -140 -72q-34 0 -58 12.5t-60 47.5v-126q0 -53 17 -76.5t60 -25.5v-24h-272v24q35 6 45.5 18t10.5 45v490q0 33 -11 46.5t-44 18.5v24zM214 346v-239q27 -65 77 -65
q85 0 85 192q0 182 -76 182q-37 0 -68 -37q-18 -21 -18 -33z" id="x1D429"></path></g>
<g transform="matrix(.012,-0,0,-.012,20.412,15.45)"><path d="M383 397q0 -32 -35 -49q-12 -6 -23 8q-37 45 -84 45t-90 -71q-40 -65 -40 -167q0 -57 22 -86t59 -29q38 0 81.5 24.5t69.5 51.5l16 -21q-44 -53 -104 -84t-109 -31q-56 0 -89.5 41t-33.5 117q0 61 30 124t79 105q33 28 81 50.5t86 22.5q34 0 59 -15.5t25 -35.5z" id="x1D450"></path></g>
</svg> with respect to <svg height="12.2" id="M334" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 13.9875 12.2" width="13.9875" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,7.912)"><path d="M451 389l-18 -7q-3 4 -19 20q-24 20 -84 20q-52 0 -90 -32q-37 -31 -37 -76q0 -24 16.5 -37.5t43.5 -13.5q8 0 31 4q28 5 43 5q47 0 47 -22q0 -37 -65 -37q-5 0 -28 3t-31 3q-39 0 -77 -31q-39 -30 -39 -78q0 -36 27.5 -55.5t73.5 -19.5q43 0 76.5 17.5t74.5 61.5l18 -8
q-92 -116 -224 -116q-71 0 -116.5 31t-45.5 77q0 48 29.5 86.5t78.5 55.5v3q-21 7 -35 26.5t-14 40.5q0 62 61 107q62 45 166 45q47 0 87 -21.5t50 -51.5z" id="x1D73A"></path></g>
<g transform="matrix(.012,-0,0,-.012,8.475,12)"><path d="M383 397q0 -32 -35 -49q-12 -6 -23 8q-37 45 -84 45t-90 -71q-40 -65 -40 -167q0 -57 22 -86t59 -29q38 0 81.5 24.5t69.5 51.5l16 -21q-44 -53 -104 -84t-109 -31q-56 0 -89.5 41t-33.5 117q0 61 30 124t79 105q33 28 81 50.5t86 22.5q34 0 59 -15.5t25 -35.5z" id="x1D450"></path></g>
</svg>.</table>

Mathematical Problems in Engineering

Error Modeling and Sensitivity Analysis of a Five-Axis Machine Tool

Figure 4