例谈用动能定理解题的一个易犯错误

动能定理是解决力学问题的重要定理之一，用动能定理解决问题，可以抛开物理过程的具体形式，因此，用它来解决有关力学问题往往比较方便．但在处理两个物体相互作用的问题时，学生容易忽略对研究对象的选择以及摩擦力做功的情况，从而在分析和解决问题中出现错误．     

平移非惯性参考系中的动能定理

本文通过惯性力的引入探讨了在平移非惯性系中动能定理的形式．     

变质量质点的动能定理与软绳问题

给出变量质点的动能定理和一对反推内力作功的表达式,并由此给出软绳问题的正确解。     

圆柱体相对转动动力学方程的积分解

针对圆柱体任意两个横截面间的相对转动动力学方程，运用解耦方法获得方程的解析解，由于方程的特殊性，利用Jordan标准形求得可逆矩阵.从而得到了圆柱体相对转动动力学方程的积分形式的解.根据工程应用，给出了冲击性和周期性两类典型载荷作用下的解析解. 关键词： 相对转动 相似模拟 动力学方程 解析解     

平移非惯性系中的能量关系

探讨了平移非惯性系中质点组的动能定理、功能原理、机械能守恒定律的形式．     

单胶子交换梯形近似下Bethe－Salpeter方程赝标解

将在动量空间具有积分形式的单胶子交换梯形近似下Ｂｅｔｈｅ－Ｓａｌｐｅｔｅｒ方程化为微分方程，求出该方程在四动量为零时的赝标解全部分量，其中第一分量为已知的Ｇｏｌｄｓｔｅｉｎ解．     

用动能定理讨论三线摆的扭转振动

建立了摆的动力学方程,导出了动能定理的微分表达式和积分表达式,用MATLAB软件编程画出了转动动能、平动动能与角坐标间的关系曲线,分析了平动动能对振动周期的影响。     

浅议动能定理的隐含条件

浅议动能定理的隐含条件裴晓云（云南省国防工业学校昆明６５０２２２）动能定理是解决力学问题的重要工具．动能定理在解决力学问题时，较牛顿运动定律方便、实用．正因为如此，有时人们在应用动能定理解题时，会不顾其成立条件，而产生违反能量守恒的结果．下面就这个问...     

试探方程法及其在非线性发展方程中的应用

提出了一种比较系统的求解非线性发展方程精确解的新方法, 即试探方程法. 以一个带5阶 导数项的非线性发展方程为例, 利用试探方程法化成初等积分形式，再利用三阶多项式的完 全判别系统求解，由此求得的精确解包括有理函数型解, 孤波解, 三角函数型周期解, 多项 式型Jacobi椭圆函数周期解和分式型Jacobi椭圆函数周期解 关键词： 试探方程法 非线性发展方程 孤波解 Jacobi椭圆函数 周期解     

伽玛函数与一个力学问题的解析解

本文借助质心系动能定理、质心运动定理和伽玛函数Γ(a)的性质,不用计算机和数学软件,得出一个力学问题的解析解.     

建立力学模型,研究单杠运动中旋转的有关问题

建立相关的力学模型,讨论运动员在单杠旋转运动中如何增加旋转能量,杠的刚柔性对旋转运动的影响和伸展、收缩的最佳时机选择等若干问题．充分展示了力学模型对研究问题的重要意义和作用．     

Application of the method of collective coordinates the the quantisation of the two-dimensional higgs model

A comprehensive analysis of the application of the method of collective coordinates to the two dimensional Higgs model is given. First the instanton solution is derived, and the geometry of configuration space, and the construction of Schrodinger wave functionals are discussed. It is then explicitly verified that the Goldstone mode is the projection of the vacuum state onto the generator of the broken symmetry. The elimination of this Goldstone mode by means of the unitary gauge condition is demonstrated to the the crucial point in the construction of a consistent perturbation procedure. The parameter of the broken symmetry group is then used as the collective coordinate for field configurations around a minimum of the interaction. Throughout, the discussion is sufficiently detailed in order to facilitate the application of the method to other fields.     

Design and analysis of the tunnel connecting the beamcorridor and the spectrum hall of the CSNS

There is a tunnel connecting the beamcorridor and the target station in the spectrum hall in the CSNS project.The length of the tunnel is about 20 m.The shielding design of the tunnel is very significant for the persons working in the spectrum hall because the tunnel is not covered ed soil for shielding.In order to reduce the dose rate at the exit of the cable ducts,we use the ISIS construction,which is designed with four turnings,as a reference for the tunnel design.The thickness of the shielding is obtained by a simulationwith the Monte Carlo Code FLUKA.The result is compared with the data obtained with Moyer Mode and the reliability of the simulation is proved.This paper provides the basis for the design of the tunnel.     

Design and analysis of the tunnel connecting the beamcorridor and the spectrum hall of the CSNS

There is a tunnel connecting the beamcorridor and the target station in the spectrum hall in the CSNS project. The length of the tunnel is about 20 m. The shielding design of the tunnel is very significant for the persons working in the spectrum hall because the tunnel is not covered by soil for shielding. In order to reduce the dose rate at the exit of the cable ducts, we use the ISIS construction, which is designed with four turnings, as a reference for the tunnel design. The thickness of the shielding is obtained by a simulation with the Monte Carlo Code FLUKA. The result is compared with the data obtained with Moyer Mode and the reliability of the simulation is proved. This paper provides the basis for the design of the tunnel.     

On the predictability of the positions of the convergence zones in the ocean

The disagreement between the experimental and calculated positions of the first convergence zone are known from many publications. The most probable cause for such a disagreement, namely, the incorrect specification of the input data for the calculations, is considered. The lack of simultaneity between the hydrological surveys of the region and the acoustic experiments is emphasized. The experimental data obtained by the author in five ocean regions are presented. These data characterize the diurnal variability of the distance from the source to the nearest boundary of the convergence zone. The relations proposed by different researchers for calculating the sound speed from the temperature, salinity, and hydrostatic pressure are analyzed. It is shown that these relations lead to a substantial difference in the estimated depth dependence of the hydrostatic gradient of the sound speed. The position of the first convergence zone is calculated for the propagation conditions determined by vertical temperature and salinity profiles with the subsequent recalculation of these profiles into sound speed profiles by using eight different formulas known from the literature. It is shown that different formulas lead to different values of the distance to the first zone; this difference is substantially greater than that between the calculations and experiment. The necessity of improving the recalculation relations in view of the experimental data on sound propagation in natural oceanic waveguides, including the data on the actual positions of the convergence zones, is emphasized.     

干涉仪系统传递函数测量及影响因素的分析

波前功率谱密度(PSD)被用于评价惯性约束聚变(ICF)激光驱动器光学元件中频段的波前误差。干涉仪对PSD较高空间频率分量的测量存在失真效应,可通过干涉仪系统传递函数(STF)的检测标定来获得真实的波前PSD分布。采用台阶板位相比较法测得大口径菲索相移干涉仪检测系统在透射和反射检测情形下的传递函数。对传递函数测试算法进行了比较分析,明确了干涉仪系统zoom倍率的改变等因素对传递函数测量的影响,为波前PSD的准确检测奠定了基础。     

产生旁瓣的激光波前功率谱密度与焦斑性能分析

讨论了在放置与不放置焦斑形态控制器件 KPP的两种情况下 ,采用功率谱密度模拟分析有旁瓣焦斑的激光束波前分布的特点 ,并由此探讨高功率激光驱动器在无旁瓣的聚焦情形下 ,对入射到打靶透镜的激光束波前畸变量的控制要求。     

产生旁瓣的激光波前功率谱密度与焦斑性能分析

 讨论了在放置与不放置焦斑形态控制器件KPP的两种情况下,采用功率谱密度模拟分析有旁瓣焦斑的激光束波前分布的特点,并由此探讨高功率激光驱动器在无旁瓣的聚焦情形下,对入射到打靶透镜的激光束波前畸变量的控制要求。     

激光对远距离运动目标的辐照性能研究

研究激光对远距离运动目标的辐照功率在激光通信、激光破坏等领域具有重要意义。一般估算辐照功率时常忽略目标的随机运动。在考虑目标的随机运动概率密度分布的基础上,建立了远距离运动目标的精确激光辐照功率模型,并与辐照静止目标时的情形进行了定量的分析比较。辐照运动目标等效于扩大的激光束辐照静止目标。当系统的瞄准方差小于由模型计算出的等效静止方差极限时,可将目标看作为静止状态,由此带来的辐照功率估算误差小于10%,否则在计算时必须考虑目标的运动状态。