Hamilton体系下阶梯梁的辛求解与实验验证

Sympletics Solution Method for Multiple-steps Beam in the Hamilton System and Experimental Verification

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。

In the Hamiltonian system,analysis the natural frequencies and modalofmultiple-steps beamby symplectic mathematics of,and use experimentto verify. By clamped at both ends of the multiple-steps beam which has three steps with experimental 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.