Due to the intrinsic interaction between piezoelectric effects and semiconducting properties,piezoelectric semiconductors(PSs)have great promise for applications in multi-functional electronic devices,requiring a deep...Due to the intrinsic interaction between piezoelectric effects and semiconducting properties,piezoelectric semiconductors(PSs)have great promise for applications in multi-functional electronic devices,requiring a deep understanding of the multi-field coupling behavior.This work investigates the free vibration and buckling characteristics of a PS beam under different mechanical boundary conditions.The coupling fields of a PS beam are modeled by combining the Timoshenko beam theory for mechanical fields with a high-order expansion along the beam thickness for electric fields and carrier distributions.Based on the hypothesis of small perturbation of carrier density,the governing equations and boundary conditions are derived with the principle of virtual work.The differential quadrature method(DQM)is used to solve the boundary-value problem.The analytical solutions for a simply supported-simply supported(SS)PS beam are also obtained for verification.The convergence and correctness of the solutions obtained with the DQM are first evaluated.Subsequently,the effects of initial electron density,boundary conditions,and geometric parameters on the vibration and buckling characteristics are explored through numerical examples,where the finite element simulations are also included.The interaction mechanism of multi-physics fields is revealed.The scale effect on the static and dynamic responses of a PS beam is demonstrated.The derived model and findings are useful for the analysis and design of PS-based devices.展开更多
In this study, coupled equations of the motion of a particle in a fluid forced vortex were investigated using the differential transformation method （DTM） with the Pad6 approximation and the differential quadrature ...In this study, coupled equations of the motion of a particle in a fluid forced vortex were investigated using the differential transformation method （DTM） with the Pad6 approximation and the differential quadrature method （DO_M）. The significant contribution of the work is the introduction of two new, fast and efficient solutions for a spherical particle in a forced vortex that are improvements over the previous numerical results in the literature. These methods represent approximations with a high degree of accuracy and minimal computational effort for studying the particle motion in a fluid forced vortex. In addition, the velocity profiles （angular and radial） and the position trajectory of a particle in a fluid forced vortex are described in the current study.展开更多
基金Project supported by the National Natural Science Foundation of China(Nos.U21A20430 and 12472155)the Natural Science Foundation of Hebei Province of China(No.A2024210002)。
文摘Due to the intrinsic interaction between piezoelectric effects and semiconducting properties,piezoelectric semiconductors(PSs)have great promise for applications in multi-functional electronic devices,requiring a deep understanding of the multi-field coupling behavior.This work investigates the free vibration and buckling characteristics of a PS beam under different mechanical boundary conditions.The coupling fields of a PS beam are modeled by combining the Timoshenko beam theory for mechanical fields with a high-order expansion along the beam thickness for electric fields and carrier distributions.Based on the hypothesis of small perturbation of carrier density,the governing equations and boundary conditions are derived with the principle of virtual work.The differential quadrature method(DQM)is used to solve the boundary-value problem.The analytical solutions for a simply supported-simply supported(SS)PS beam are also obtained for verification.The convergence and correctness of the solutions obtained with the DQM are first evaluated.Subsequently,the effects of initial electron density,boundary conditions,and geometric parameters on the vibration and buckling characteristics are explored through numerical examples,where the finite element simulations are also included.The interaction mechanism of multi-physics fields is revealed.The scale effect on the static and dynamic responses of a PS beam is demonstrated.The derived model and findings are useful for the analysis and design of PS-based devices.
文摘In this study, coupled equations of the motion of a particle in a fluid forced vortex were investigated using the differential transformation method （DTM） with the Pad6 approximation and the differential quadrature method （DO_M）. The significant contribution of the work is the introduction of two new, fast and efficient solutions for a spherical particle in a forced vortex that are improvements over the previous numerical results in the literature. These methods represent approximations with a high degree of accuracy and minimal computational effort for studying the particle motion in a fluid forced vortex. In addition, the velocity profiles （angular and radial） and the position trajectory of a particle in a fluid forced vortex are described in the current study.
