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| 1 | An analytical symplectic approach to the vibration analysis of orthotropic graphene sheets显示文摘A nonlocal continuum orthotropic plate model is proposed to study the vibration behavior of single-layer graphene sheets(SLGSs) using an analytical symplectic approach. A Hamiltonian system is established by introducing a total unknown vector consisting of the displacement amplitude, rotation angle, shear force, and bending moment.The high-order governing differential equation of the vibration of SLGSs is transformed into a set of ordinary differential equations in symplectic space. Exact solutions for free vibration are obtianed by the method of separation of variables without any trial shape functions and can be expanded in series of symplectic eigenfunctions. Analytical frequency equations are derived for all six possible boundary conditions. Vibration modes are expressed in terms of the symplectic eigenfunctions. In the numerical examples, comparison is presented to verify the accuracy of the proposed method. Comprehensive numerical examples for graphene sheets with Levy-type boundary conditions are given. A parametric study of the natural frequency is also included. | Xinsheng Xu Dalun Rong C.W.Lim Changyu Yang Zhenhuan Zhou | 2017 | Acta Mechanica Sinica2017，33，5： | 4 |
| 2 | Fracture analysis of magnetoelectroelastic bimaterials with imperfect interfaces by symplectic expansion显示文摘A Hamiltonian-based analytical method is used to study the mode Ⅲ interface cracks in magnetoelectroelastic bimaterials with an imperfect interface. By introducing an unknown vector, the governing equations are reformulated in sets of first-order ordinary differential equations. Using separation of variables, eigensolutions in the symplectic space are obtained. An exact solution of the unknown vector is obtained and expressed in terms of symplectic eigensolutions. Singularities of mechanical, electric, and magnetic fields are evaluated with the generalized intensity factors. Comparisons are made to verify accuracy and stability of the proposed method. Numerical examples including mixed boundary conditions are given. | Xinsheng XU Zhenzhen TONG Dalun RONG Xianhe CHENG Chenghui XU Zhenhuan ZHOU | 2017 | Applied Mathematics and Mechanics(English Edition)2017，38，8： | 0 |
| 3 | Purification and characterization of lipoxygenase from Entermorpha clathrata显示文摘The purification and characterization of lipoxygenase (LOX,EC 1.13.11.12) from the green algae Enteromorpha clathrata were studied. Two components marked LOX-1 and LOX-2 were purified and their molecular masses were estimated to be 102 and 79 ku by SDS-PAGE. Both LOX-1 and LOX-2 were stable over the pH wide range 6.0~10.0 and had the optimum pH of 10.0 and 8.6,at optimum temperature of 30 and 25℃,respectively. Substrate specificities of LOX-1 and LOX-2 were the greatest towards linoleic acid,followed by arachidonic acid and linolenic acid. The Michaelis constant values of LOX-1 and LOX-2 were 0.23 and 0.20 mmol/dm3 with the substrate of linoleic acid. The LOX activities were stimulated greatly by Ca2+ but inhibited by Hg2+ and the antioxidants such as BHA,BHT and TBHQ. The hydroperoxide products of LOX were analysed by HPLC with the substrate of methyl linoleate,and the results showed that LOX-1 formed mainly 9-hydroperoxides while LOX-2 formed both 9-and 13-hydroperoxides at a ratio of 24∶76. | YANG Wenge XUE Changhu XU Dalun FU Xueyan HE Xiong | 2008 | Acta Oceanologica Sinica2008，27，1： | 0 |
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