A novel symplectic superposition method has been proposed and developed for plate and shell problems in recent years.The method has yielded many new analytic solutions due to its rigorousness.In this study,the first e...A novel symplectic superposition method has been proposed and developed for plate and shell problems in recent years.The method has yielded many new analytic solutions due to its rigorousness.In this study,the first endeavor is made to further developed the symplectic superposition method for the free vibration of rectangular thin plates with mixed boundary constraints on an edge.The Hamiltonian system-based governing equation is first introduced such that the mathematical techniques in the symplectic space are applied.The solution procedure incorporates separation of variables,symplectic eigen solution and superposition.The analytic solution of an original problem is finally obtained by a set of equations via the equivalence to the superposition of some elaborated subproblems.The natural frequency and mode shape results for representative plates with both clamped and simply supported boundary constraints imposed on the same edge are reported for benchmark use.The present method can be extended to more challenging problems that cannot be solved by conventional analytic methods.展开更多
Precise spatio-temporal control of gene expression at transcriptional and translational levels is required for both of proper developmental programming of the central nervous system and the performing of normal brain ...Precise spatio-temporal control of gene expression at transcriptional and translational levels is required for both of proper developmental programming of the central nervous system and the performing of normal brain functions.Many studies have demonstrated that micro-RNAs(miRNAs),a class of endogenous small RNAs,participate in post-transcriptional regulation of gene expression,and thus execute regulatory functions in various biologic processes.Emerging evidence indicates that miRNAs participate in gene regulatory networks during the developmental,physiologic,and pathological processes of the brain.In this review,we attempt to summarize some of the recent advances in research on the involvement of miRNAs in the regulation of neuronal development,neuroplasticity,and brain diseases,revealing their indispensable roles in neural functions.展开更多
基金the support from the National Natural Science Foundation of China(Grants 12022209,11972103,and 11825202)the Liaoning Revitalization Talents Program of China(Grant XLYC1807126)the Fundamental Research Funds for the Central Universities(Grant DUT21LAB124).
文摘A novel symplectic superposition method has been proposed and developed for plate and shell problems in recent years.The method has yielded many new analytic solutions due to its rigorousness.In this study,the first endeavor is made to further developed the symplectic superposition method for the free vibration of rectangular thin plates with mixed boundary constraints on an edge.The Hamiltonian system-based governing equation is first introduced such that the mathematical techniques in the symplectic space are applied.The solution procedure incorporates separation of variables,symplectic eigen solution and superposition.The analytic solution of an original problem is finally obtained by a set of equations via the equivalence to the superposition of some elaborated subproblems.The natural frequency and mode shape results for representative plates with both clamped and simply supported boundary constraints imposed on the same edge are reported for benchmark use.The present method can be extended to more challenging problems that cannot be solved by conventional analytic methods.
基金This work is supported by the Chinese National Science and Technology Major Project for Drug Discovery(No.2009ZX09303-006)。
文摘Precise spatio-temporal control of gene expression at transcriptional and translational levels is required for both of proper developmental programming of the central nervous system and the performing of normal brain functions.Many studies have demonstrated that micro-RNAs(miRNAs),a class of endogenous small RNAs,participate in post-transcriptional regulation of gene expression,and thus execute regulatory functions in various biologic processes.Emerging evidence indicates that miRNAs participate in gene regulatory networks during the developmental,physiologic,and pathological processes of the brain.In this review,we attempt to summarize some of the recent advances in research on the involvement of miRNAs in the regulation of neuronal development,neuroplasticity,and brain diseases,revealing their indispensable roles in neural functions.
