Free vibration characteristics of piezoelectric cylindrical shells with stepped thickness using an analytical symplectic approach
Jufang Jia, Xinsheng Xü, Yongqi Li, Shengbo Zhu, Yiwen Ni, Andi Lai, Zhenzhen Tong, Zhenhuan Zhou
Topics & Concepts
Symplectic geometryVibrationRitz methodEigenfunctionBoundary value problemParametric statisticsMathematical analysisAlgebraic equationMathematicsSeries (stratigraphy)Normal modePiezoelectricityPhysicsEigenvalues and eigenvectorsAcousticsNonlinear systemPaleontologyStatisticsQuantum mechanicsBiologyComposite Structure Analysis and OptimizationAeroelasticity and Vibration ControlAcoustic Wave Phenomena Research