Addressed is a problem as to meso perturbation wave ensemble development in a curved basic flow in the context of a f-plane non-hydrostatic equilibrium acoustic wave filtering model in natural coordinates with the aid...Addressed is a problem as to meso perturbation wave ensemble development in a curved basic flow in the context of a f-plane non-hydrostatic equilibrium acoustic wave filtering model in natural coordinates with the aid of the WKJB and energetic approaches. Results show that the symmetric development depends crucially on the matching of structures of the disturbance wave and background field, and for a smooth (curved) basic flow the wave ensemble evolution hinges upon the spatial imhomogeneity of nonthermal wind of the background field (under nongradient wind balance). Finally, presented is the wave ensemble evolution in relation to the thermal curvature vorticity in the background field.展开更多
In this paper, we consider the following fourth-order equation of Kirchhoff type<br /> <p> <img src="Edit_bcc9844d-7cbc-494d-90c4-d75364de5658.bmp" alt="" /> </p> <p> ...In this paper, we consider the following fourth-order equation of Kirchhoff type<br /> <p> <img src="Edit_bcc9844d-7cbc-494d-90c4-d75364de5658.bmp" alt="" /> </p> <p> where <i>a</i>, <i>b</i> > 0 are constants, 3 < <i>p</i> < 5, <i>V</i> ∈ <i>C</i> (R<sup>3</sup>, R);Δ<sup>2</sup>: = Δ (Δ) is the biharmonic operator. By using Symmetric Mountain Pass Theorem and variational methods, we prove that the above equation admits infinitely many high energy solutions under some sufficient assumptions on <i>V</i> (<i>x</i>). We make some assumptions on the potential <i>V</i> (<i>x</i>) to solve the difficulty of lack of compactness of the Sobolev embedding. Our results improve some related results in the literature. </p>展开更多
This study presents the deduction of time domain mathematical equations to simulate the curve of the charging process of a symmetrical electrochemical supercapacitor with activated carbon electrodes fed by a source of...This study presents the deduction of time domain mathematical equations to simulate the curve of the charging process of a symmetrical electrochemical supercapacitor with activated carbon electrodes fed by a source of constant electric potential in time ε and the curve of the discharge process through two fixed resistors. The first resistor R<sub>Co</sub> is a control that aims to prevent sudden variations in the intensity of the electric current i<sub>1</sub>(t) present at the terminals of the electrochemical supercapacitor at the beginning of the charging process. The second resistor is the internal resistance R<sub>A</sub> of the ammeter used in the calculation of the intensity of the electric current i<sub>1</sub>(t) over time in the charging and discharging processes. The mathematical equations generated were based on a 2R(C + kU<sub>C</sub>(t)) electrical circuit model and allowed to simulate the effects of the potential-dependent capacitance (kU<sub>C</sub>(t)) on the charge and discharge curves and hence on the calculated values of the fixed capacitance C, the equivalent series resistance (ESR), the equivalent parallel resistance (EPR) and the electrical potential dependent capacitance index k.展开更多
研究对称起爆加载下金属样品内激波斜碰的早期动态力学行为,对分析其后续的动态演化与失效机制有着重要的意义。结合激波极曲线理论和数值模拟方法,开展两点侧面对称起爆加载下金属铅(Lead,Pb)、无氧铜(Oxygen-free high conductive cop...研究对称起爆加载下金属样品内激波斜碰的早期动态力学行为,对分析其后续的动态演化与失效机制有着重要的意义。结合激波极曲线理论和数值模拟方法,开展两点侧面对称起爆加载下金属铅(Lead,Pb)、无氧铜(Oxygen-free high conductive copper,Cu-OFHC)和钨合金(W-Ni-Fe alloy,W4Ni2Fe)的动态行为研究。利用激波极曲线方法和Hugoniot状态方程,得到3种金属激波反射形式发生转变时入射角和入射压力临界值之间的关系,并基于此结果分析仿真中3种金属内激波的对称斜碰特征。模拟结果显示3种金属都发生了马赫反射,吻合理论预测。通过对比3种金属内部横向同一区域的压力剖面发现:Pb的马赫杆宽度远大于Cu-OFHC和W4Ni2Fe;Pb中由入射激波、马赫杆和反射激波形成的三波加载区域也大于后两者,分析认为主要原因是Pb中的声速远小于后两者,造成碰撞区内激波相互作用的差异。基于自由面的速度历史剖面和判定准则估算这3种金属中最终形成的马赫杆宽度并讨论碰撞区的动态演化特征。结合对金属内部压力及自由面速度剖面的分析建立斜激波对称碰撞动态演化模型,为深入认识碰撞区的动态力学行为提供了理论支持。展开更多
As the wireless sensor networks are easily deployable, the volume of sensor applications has been increased widely in various fields of military and commercial areas. In order to attain security on the data exchanged ...As the wireless sensor networks are easily deployable, the volume of sensor applications has been increased widely in various fields of military and commercial areas. In order to attain security on the data exchanged over the network, a hybrid cryptographic mechanism which includes both symmetric and asymmetric cryptographic functions is used. The public key cryptographic ECC security implementation in this paper performs a matrix mapping of data’s at the points on the elliptical curve, which are further encoded using the private symmetric cipher cryptographic algorithm. This security enhancement with the hybrid mechanism of ECC and symmetric cipher cryptographic scheme achieves efficiency in energy conservation of about 7% and 4% compared to the asymmetric and symmetric cipher security implementations in WSN.展开更多
文摘Addressed is a problem as to meso perturbation wave ensemble development in a curved basic flow in the context of a f-plane non-hydrostatic equilibrium acoustic wave filtering model in natural coordinates with the aid of the WKJB and energetic approaches. Results show that the symmetric development depends crucially on the matching of structures of the disturbance wave and background field, and for a smooth (curved) basic flow the wave ensemble evolution hinges upon the spatial imhomogeneity of nonthermal wind of the background field (under nongradient wind balance). Finally, presented is the wave ensemble evolution in relation to the thermal curvature vorticity in the background field.
文摘In this paper, we consider the following fourth-order equation of Kirchhoff type<br /> <p> <img src="Edit_bcc9844d-7cbc-494d-90c4-d75364de5658.bmp" alt="" /> </p> <p> where <i>a</i>, <i>b</i> > 0 are constants, 3 < <i>p</i> < 5, <i>V</i> ∈ <i>C</i> (R<sup>3</sup>, R);Δ<sup>2</sup>: = Δ (Δ) is the biharmonic operator. By using Symmetric Mountain Pass Theorem and variational methods, we prove that the above equation admits infinitely many high energy solutions under some sufficient assumptions on <i>V</i> (<i>x</i>). We make some assumptions on the potential <i>V</i> (<i>x</i>) to solve the difficulty of lack of compactness of the Sobolev embedding. Our results improve some related results in the literature. </p>
文摘This study presents the deduction of time domain mathematical equations to simulate the curve of the charging process of a symmetrical electrochemical supercapacitor with activated carbon electrodes fed by a source of constant electric potential in time ε and the curve of the discharge process through two fixed resistors. The first resistor R<sub>Co</sub> is a control that aims to prevent sudden variations in the intensity of the electric current i<sub>1</sub>(t) present at the terminals of the electrochemical supercapacitor at the beginning of the charging process. The second resistor is the internal resistance R<sub>A</sub> of the ammeter used in the calculation of the intensity of the electric current i<sub>1</sub>(t) over time in the charging and discharging processes. The mathematical equations generated were based on a 2R(C + kU<sub>C</sub>(t)) electrical circuit model and allowed to simulate the effects of the potential-dependent capacitance (kU<sub>C</sub>(t)) on the charge and discharge curves and hence on the calculated values of the fixed capacitance C, the equivalent series resistance (ESR), the equivalent parallel resistance (EPR) and the electrical potential dependent capacitance index k.
文摘研究对称起爆加载下金属样品内激波斜碰的早期动态力学行为,对分析其后续的动态演化与失效机制有着重要的意义。结合激波极曲线理论和数值模拟方法,开展两点侧面对称起爆加载下金属铅(Lead,Pb)、无氧铜(Oxygen-free high conductive copper,Cu-OFHC)和钨合金(W-Ni-Fe alloy,W4Ni2Fe)的动态行为研究。利用激波极曲线方法和Hugoniot状态方程,得到3种金属激波反射形式发生转变时入射角和入射压力临界值之间的关系,并基于此结果分析仿真中3种金属内激波的对称斜碰特征。模拟结果显示3种金属都发生了马赫反射,吻合理论预测。通过对比3种金属内部横向同一区域的压力剖面发现:Pb的马赫杆宽度远大于Cu-OFHC和W4Ni2Fe;Pb中由入射激波、马赫杆和反射激波形成的三波加载区域也大于后两者,分析认为主要原因是Pb中的声速远小于后两者,造成碰撞区内激波相互作用的差异。基于自由面的速度历史剖面和判定准则估算这3种金属中最终形成的马赫杆宽度并讨论碰撞区的动态演化特征。结合对金属内部压力及自由面速度剖面的分析建立斜激波对称碰撞动态演化模型,为深入认识碰撞区的动态力学行为提供了理论支持。
文摘As the wireless sensor networks are easily deployable, the volume of sensor applications has been increased widely in various fields of military and commercial areas. In order to attain security on the data exchanged over the network, a hybrid cryptographic mechanism which includes both symmetric and asymmetric cryptographic functions is used. The public key cryptographic ECC security implementation in this paper performs a matrix mapping of data’s at the points on the elliptical curve, which are further encoded using the private symmetric cipher cryptographic algorithm. This security enhancement with the hybrid mechanism of ECC and symmetric cipher cryptographic scheme achieves efficiency in energy conservation of about 7% and 4% compared to the asymmetric and symmetric cipher security implementations in WSN.
