Table 6 Coefficients \({a}_{i}\) for various \(N\) of Rayleigh–Ritz procedure in case (2)
From: Nonlinear analysis of Euler beams resting on a tensionless soil with arbitrary configurations
Coefficients \({a}_{i}\) | \(N=7\) | \(N=6\) | \(N=5\) |
|---|---|---|---|
\({a}_{2}\) | \(1.389441157\times {10}^{-2}\) | \(1.243649123\times {10}^{-2}\) | \(1.228951157\times {10}^{-2}\) |
\({a}_{3}\) | \(-3.304185325\times {10}^{-2}\) | \(-8.681772789\times {10}^{-3}\) | \(-6.93056228\times {10}^{-3}\) |
\({a}_{4}\) | \(7.872285806\times {10}^{-2}\) | \(-5.513087168\times {10}^{-2}\) | \(-6.169062329\times {10}^{-2}\) |
\({a}_{5}\) | \(-2.901323256\times {10}^{-1}\) | \(3.105833821\times {10}^{-2}\) | \(4.067911857\times {10}^{-2}\) |
\({a}_{6}\) | \(3.527987667\times {10}^{-1}\) | \(4.811333937\times {10}^{-3}\) | \(-\) |
\({a}_{7}\) | \(-1.392163461\times {10}^{-1}\) | \(-\) | \(-\) |