In this paper a series of excellent trial functions, for example, the spline function, function of vibration mode of a beam, the stability function, the trigonal series, the polynomial, etc.

• 本文从加权残数法内部法的观点选取一些优秀函数:样条函数、梁振动函数、稳定梁函数、三角级数与多项式；这些函数都严格地满足梁的边界条件.