This paper calculates the equilibrium structure and the potential energy functions of the ground state （X^2∑^＋） and the low lying excited electronic state （A^2Л） of CN radical are calculated by using CASSCF met...This paper calculates the equilibrium structure and the potential energy functions of the ground state （X^2∑^＋） and the low lying excited electronic state （A^2Л） of CN radical are calculated by using CASSCF method. The potential energy curves are obtained by a least square fitting to the modified Murrell-Sorbie function. On the basis of physical theory of potential energy function, harmonic frequency （ωe） and other spectroscopic constants （ωeχe, βe and αe） are calculated by employing the Rydberg-Klei-Rees method. The theoretical calculation results are in excellent agreement with the experimental and other complicated theoretical calculation data. In addition, the eigenvalues of vibrational levels have been calculated by solving the radial one-dimensional SchrSdinger equation of nuclear motion using the algebraic method based on the analytical potential energy function.展开更多
In micro-electro-mechanical systems,interface expansion issues are commonly encountered,and due to their small size,they often exist at the micro-or nano-scale.The influence of the micro-structural effect on interface...In micro-electro-mechanical systems,interface expansion issues are commonly encountered,and due to their small size,they often exist at the micro-or nano-scale.The influence of the micro-structural effect on interface mechanics cannot be ignored.This paper focuses on studying the impact of micro-structural effect on interface crack propagation.Modified couple stress theory(MCST)is used to study the buckling delamination of ultra-thin film-substrate systems.The equivalent elastic modulus(EEM)and equivalent flexural rigidity(EFR)are derived based on MCST.Substituting EEM and EFR into the classical Kirchhoff plate theory,the governing equations of ultra-thin film-substrate system with micro-structural effect can be obtained.The finite element method(FEM)was used to calculate the critical strain energy release rate for crack extension.Differences between the three theoretical approaches of MCST,classical theory(CT),and FEM were compared.The effects of stress ratioσ/σ_(c),initial crack length,film thickness,and micro-structural effect parameters on crack extension were analyzed.The results show that the FEM calculations coincide with the CT calculations.The stress ratioσ/σ_(c),initial crack length,film thickness,and micro-structural effect parameters have significantly influence crack extension.展开更多
In this article, the author studies the Cauchy problem of the damped wave equation with a nonlinear convection term in multi-dimensions. The author shows that a classical solution to the Cauchy problem exists globally...In this article, the author studies the Cauchy problem of the damped wave equation with a nonlinear convection term in multi-dimensions. The author shows that a classical solution to the Cauchy problem exists globally in time under smallness condition on the initial perturbation. Furthermore, the author obtains the L^p （2 ≤ p ≤ ∞） decay estimates of the solution.展开更多
针对风电机组出力的间歇性和波动性,提出了基于等效电量频率法(equiva1ent energy and frequency function method,EEFF)的电力系统随机生产模拟方法。将等效电量函数法(equiva1ent energy function method,EEF)与频率持续法(frequency ...针对风电机组出力的间歇性和波动性,提出了基于等效电量频率法(equiva1ent energy and frequency function method,EEFF)的电力系统随机生产模拟方法。将等效电量函数法(equiva1ent energy function method,EEF)与频率持续法(frequency and duration,FD)相结合,用来评估风电场接入对电力系统生产运行的影响。该方法在生产模拟中保留了负荷和风电机组的时变特性,除了可以得到常规算法所能得到的生产模拟结果外,还可以评估风电场对常规机组造成的开停机影响,以及与火电机组开机、暖机等因素相关的动态费用。EPRI36机组随机生产模拟结果验证了所提方法的正确性和有效性。展开更多
等效电量函数法是电力系统随机生产模拟的实用高效方法,但在计算失负荷概率(Loss Of Load Probability,LOLP)指标时可能存在精度不高的问题。利用实际电力系统中持续负荷曲线的台阶状特征,引入基准单位将拐点横坐标整数化,提出了用于电...等效电量函数法是电力系统随机生产模拟的实用高效方法,但在计算失负荷概率(Loss Of Load Probability,LOLP)指标时可能存在精度不高的问题。利用实际电力系统中持续负荷曲线的台阶状特征,引入基准单位将拐点横坐标整数化,提出了用于电力系统随机生产模拟的稀疏卷积递推法。该方法采用变宽度矩形描述持续负荷曲线,充分利用了拐点横坐标在整数空间中分布的稀疏性,计算时间对基准单位的取值不敏感,比较适用于系统规模较大、对LOLP指标计算精度要求较高的场合。最后通过对IEEE-RTS79系统及其修正和扩大系统的仿真测试验证了所提方法的准确性及效率。展开更多
基金Project supported by the National Natural Science Foundation of China （Grant No 60771038）.
文摘This paper calculates the equilibrium structure and the potential energy functions of the ground state （X^2∑^＋） and the low lying excited electronic state （A^2Л） of CN radical are calculated by using CASSCF method. The potential energy curves are obtained by a least square fitting to the modified Murrell-Sorbie function. On the basis of physical theory of potential energy function, harmonic frequency （ωe） and other spectroscopic constants （ωeχe, βe and αe） are calculated by employing the Rydberg-Klei-Rees method. The theoretical calculation results are in excellent agreement with the experimental and other complicated theoretical calculation data. In addition, the eigenvalues of vibrational levels have been calculated by solving the radial one-dimensional SchrSdinger equation of nuclear motion using the algebraic method based on the analytical potential energy function.
基金supported by the National Key R&D Program of China(No.2022YFB3207100)the Hubei Provincial Strategic Scientist Training Plan(No.2022EJD009)the Fundamental Research Funds for the Central Universities(No.2042023kf1041).
文摘In micro-electro-mechanical systems,interface expansion issues are commonly encountered,and due to their small size,they often exist at the micro-or nano-scale.The influence of the micro-structural effect on interface mechanics cannot be ignored.This paper focuses on studying the impact of micro-structural effect on interface crack propagation.Modified couple stress theory(MCST)is used to study the buckling delamination of ultra-thin film-substrate systems.The equivalent elastic modulus(EEM)and equivalent flexural rigidity(EFR)are derived based on MCST.Substituting EEM and EFR into the classical Kirchhoff plate theory,the governing equations of ultra-thin film-substrate system with micro-structural effect can be obtained.The finite element method(FEM)was used to calculate the critical strain energy release rate for crack extension.Differences between the three theoretical approaches of MCST,classical theory(CT),and FEM were compared.The effects of stress ratioσ/σ_(c),initial crack length,film thickness,and micro-structural effect parameters on crack extension were analyzed.The results show that the FEM calculations coincide with the CT calculations.The stress ratioσ/σ_(c),initial crack length,film thickness,and micro-structural effect parameters have significantly influence crack extension.
基金supported by Shanghai Municipal Natural Science Foundation 09ZR1413500National Natural Science Foundation of China 11071162
文摘In this article, the author studies the Cauchy problem of the damped wave equation with a nonlinear convection term in multi-dimensions. The author shows that a classical solution to the Cauchy problem exists globally in time under smallness condition on the initial perturbation. Furthermore, the author obtains the L^p （2 ≤ p ≤ ∞） decay estimates of the solution.
文摘针对风电机组出力的间歇性和波动性,提出了基于等效电量频率法(equiva1ent energy and frequency function method,EEFF)的电力系统随机生产模拟方法。将等效电量函数法(equiva1ent energy function method,EEF)与频率持续法(frequency and duration,FD)相结合,用来评估风电场接入对电力系统生产运行的影响。该方法在生产模拟中保留了负荷和风电机组的时变特性,除了可以得到常规算法所能得到的生产模拟结果外,还可以评估风电场对常规机组造成的开停机影响,以及与火电机组开机、暖机等因素相关的动态费用。EPRI36机组随机生产模拟结果验证了所提方法的正确性和有效性。
文摘等效电量函数法是电力系统随机生产模拟的实用高效方法,但在计算失负荷概率(Loss Of Load Probability,LOLP)指标时可能存在精度不高的问题。利用实际电力系统中持续负荷曲线的台阶状特征,引入基准单位将拐点横坐标整数化,提出了用于电力系统随机生产模拟的稀疏卷积递推法。该方法采用变宽度矩形描述持续负荷曲线,充分利用了拐点横坐标在整数空间中分布的稀疏性,计算时间对基准单位的取值不敏感,比较适用于系统规模较大、对LOLP指标计算精度要求较高的场合。最后通过对IEEE-RTS79系统及其修正和扩大系统的仿真测试验证了所提方法的准确性及效率。
