An Analytical Approximation Method for Strongly Nonlinear Oscillators

<table>The diagram of amplitude <svg height="10.55" id="M86" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 11.325 10.55" width="11.325" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.55)">
<g transform="translate(72,-63.56)">
<text transform="matrix(1,0,0,-1,-71.95,63.61)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐴</tspan>
</text>
</g>
</g>
</svg> depending on frequency <svg height="7.1875" id="M87" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 10.7625 7.1875" width="10.7625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.1875)">
<g transform="translate(72,-66.25)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜔</tspan>
</text>
</g>
</g>
</svg> for pendulum.</table>

Journal of Applied Mathematics

fig2

Figure 2

Figure 2: An Analytical Approximation Method for Strongly Nonlinear Oscillators 