CAJ | 학술논문

在哈密顿体系中，用辛数学方法求出了阶梯梁自由振动的固有频率和结构振型，并进行试验验证。通过对具有3个阶梯的两端固支阶梯梁进行实验验证，得到了实测的前4阶固有频率和对应的结构振型。结果表明，辛数学方法所得到的频率和振型与实测结果符合很好，其可靠性与准确性得到了验证，同时，可以很好的保证结果的完备性和收敛性。
재합밀돈체계중，용신수학방법구출료계제량자유진동적고유빈솔화결구진형，병진행시험험증。통과대구유3개계제적량단고지계제량진행실험험증，득도료실측적전4계고유빈솔화대응적결구진형。결과표명，신수학방법소득도적빈솔화진형여실측결과부합흔호，기가고성여준학성득도료험증，동시，가이흔호적보증결과적완비성화수렴성。
In the Hamiltonian system, analysis the natural frequencies and modalofmultiple-steps beamby symplectic mathe-matics of, and use experimentto verify.By clamped at both ends of the multiple-steps beam which has three steps with experi-mental verification has been measured in the first four natural frequencies and mode shapes corresponding to the structure.The resultsshowed that frequency and vibration of symplectic mathematicsby experimental .And the result has good completeness and convergence.