共查询到20条相似文献,搜索用时 359 毫秒
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利用拉格朗日方程建立了单质点弹簧振子非线性振动方程,作出了回复力、势能随坐标的变化曲线以及相图.应用第一类完全椭圆积分求出了非线性振动周期的精确解.应用线化和校正法对单质点弹簧振子的周期和近似解进行了求解.利用Maple计算机绘图,分别作出了它们的周期近似解与周期精确解随振幅的变化曲线以及近似解与数值解的变化曲线.利用线化和校正法所求得的近似解与数值解比较,具有简单实用、精度高、相对误差低等优点,在求解非线性振动中具有一定的实用价值. 相似文献
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研究了一类输电线非线性振动的动力学模.利用同伦映射方法,得到了该模型的任意次精度的近似解.
关键词:
输电线
非线性振动
同伦映射
近似解 相似文献
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通过分析对称双弹簧振子横向振动的特点,在立方非线性振动精确解的基础上提出振动方程的椭圆函数型近似解析解,并与数值解结果进行了比较. 相似文献
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基于MATLAB的非线性振动系统临界阻尼的研究 总被引:2,自引:0,他引:2
用MATLAB研究了非线性振动系统临界阻尼的性质,提出了非线性振动系统临界阻尼的计算公式和临界阻尼状态下系统的运动方程,并与数值解进行了比较. 相似文献
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组合线性弹簧振子中的非线性振动 总被引:1,自引:0,他引:1
从拉格朗日方程出发,分析了几种常见的线性弹簧组合,对作非线性振动弹簧振子进行了数值求解.当作微小振动时,正好是几种典型的非线性振动.通过计算得出解析解并与数值解进行了对比. 相似文献
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梁先庭 《原子与分子物理学报》1999,16(1):124-129
在庞小峰关于蛋白质分子能量传输基本方程的基础上,求出了该方程的另一类解析解--椭圆皮解。并验证了孤子解的存在性。还获得了椭圆波解的质量、动量和能量表达工。 相似文献
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A non-static exact solution of Einstein’s equations corresponding to a field of flowing null radiation plus an electromagnetic
field is presented. The geometry of the solution is described by the Kerr-Schild metric. The solution admits a shear-free,
geodetic null congruence. It has the symmetry of the Kerr-Newman solution and when a certain parameter is put equal to zero
the solution becomes static and reduces to the Kerr-Newman solution. 相似文献
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A solution of the Einstein-Maxwell equations corresponding to source-free electromagnetic field is obtained. The solution
is algebraically special. A particular case of the solution is considered which includes Brill’s solution. The details regarding
the solution are also discussed. 相似文献
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We extend the operational matrices technique to design a spectral solution of nonlinear fractional differential equations (FDEs). The derivative is considered in the Caputo sense. The coupled system of two FDEs is considered, subjected to more generalized integral type conditions. The basis of our approach is the most simple orthogonal polynomials. Several new matrices are derived that have strong applications in the development of computational scheme. The scheme presented in this article is able to convert nonlinear coupled system of FDEs to an equivalent S-lvester type algebraic equation. The solution of the algebraic structure is constructed by converting the system into a complex Schur form. After conversion, the solution of the resultant triangular system is obtained and transformed back to construct the solution of algebraic structure. The solution of the matrix equation is used to construct the solution of the related nonlinear system of FDEs. The convergence of the proposed method is investigated analytically and verified experimentally through a wide variety of test problems. 相似文献
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利用流变仪研究了甲基纤维素(MC)溶液在NaCl、十六烷基三甲基溴化铵(HTAB)以及两者共存下MC溶液的凝胶化行为,发现其凝胶化温度随着NaCl浓度的增加而下降,随着HTAB浓度的增加而上升;但是MC/NaCl的凝胶化温度保持不变,与HTAB浓度
无关,而MC/HTAB溶液的凝胶化温度则随着NaCl浓度的增加而下降.以上的实验结果表明,在NaCl存在下,HTAB将被诱导形成胶束,因此MC/NaCl的凝胶化温度保持不变;反之,当NaCl不存在时,HTAB将优先吸附到MC上而不会在溶液中形成胶束,尽管其浓度 相似文献