摘要
通过分析矩形中厚板的一些具体力学问题,提出一类矩形中厚板模型,并从数学角度建立了该模型的两种Hamilton形式,得到两类Hamilton算子,这为辛体系方法的应用奠定了基础。最后从Lagrange密度函数和Legendre变换角度阐述了Hamilton形式导出过程。
A class of rectangular and moderately thick plate models has been proposed by analyzing some specific mechanical problems.Two kinds of Hamiltonian forms of the models are established from the mathematical point of view,and two kinds of Hamiltonian operators are provided.The corresponding results lay a foundation for the further application of the symplectic system method.Finally,the derivation of the Hamiltonian forms is described from the Lagrange density function and Legendre transform.
作者
乔佳楠
侯国林
QIAO Jianan;HOU Guolin(School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China)
出处
《内蒙古大学学报(自然科学版)》
CAS
北大核心
2023年第6期568-573,共6页
Journal of Inner Mongolia University:Natural Science Edition
基金
国家自然科学基金项目(12261064,11861048)
内蒙古自然科学基金项目(2021MS01004)