Transfer Matrix Method for the Determination of the Natural Vibration Characteristics of Realistic Thrusting Launch Vehicle—Part I

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td align="left">Mode</td><td align="center">Measured [<a href="/journals/mpe/2013/764673/#B27">26</a>]</td><td align="center">ANSYS [<a href="/journals/mpe/2013/764673/#B27">26</a>]</td><td align="center">TMM</td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td align="left">1</td><td align="center">27359.6</td><td align="center">27417.6 (+0.212%)</td><td align="center">27407.233 (+0.174%)</td></tr><tr><td align="left">2</td><td align="center">60862.0</td><td align="center">60882.0 (+0.0328%)</td><td align="center">60851.321 (+0.0175%)</td></tr><tr><td align="left">3</td><td align="center">97609.5</td><td align="center">97734.4 (+0.128%)</td><td align="center">97796.367 (+0.191%)</td></tr><tr><td align="left">4</td><td align="center">131494</td><td align="center">131658.0 (+0.124%)</td><td align="center">132277.502 (+0.595%)</td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Natural frequencies (Hz) according to measured values, ANSYS, and TMM of a free-free short Timoshenko aluminum square beam.

Mathematical Problems in Engineering

tab2

Table 2

Table 2: Transfer Matrix Method for the Determination of the Natural Vibration Characteristics of Realistic Thrusting Launch Vehicle—Part I 