Dynamic Analysis of Timoshenko Beam with Arbitrary Constraints and a Further Optimization Based on Least Energy Principle

Table 1

Optimizing BCs and errors compared with A-method.

Item	A-method	P-method	C-method	L-method	T-method
X1	0.2311	0.2741	0.1983	0.182	0.2272
X2	0.7829	0.8424	0.742	0.7382	0.7296
Error X1	-	4.30%	−3.28%	−4.91%	−0.39%
Error X2	-	5.95%	−4.09%	−4.47%	−5.33%