An solution to tooth deformation of parabola tooth belt has been obtainedby complex function method of plane elastic theory,with the tooth deformation specifiedand the middle line between neighboring teeth displaced.T...An solution to tooth deformation of parabola tooth belt has been obtainedby complex function method of plane elastic theory,with the tooth deformation specifiedand the middle line between neighboring teeth displaced.The law governing the toothdeformation under load and the effect of deformation on distribution of load are analysed aswell.Computer software has been compiled on the basis of this way of solution and anaccurate way of calculation is provided for study on tooth deformation and loaddistribution.展开更多
By finding a parabola solution connecting two equilibrium points of a planar dynamical system, the existence of the kink wave solution for 6 classes of nonlinear wave equations is shown. Some exact explicit parametric...By finding a parabola solution connecting two equilibrium points of a planar dynamical system, the existence of the kink wave solution for 6 classes of nonlinear wave equations is shown. Some exact explicit parametric representations of kink wave solutions are given. Explicit parameter conditions to guarantee the existence of kink wave solutions are determined.展开更多
The limitations of several existing classical rock damage models were critically appraised. Thereafter, a description of a new model to estimate the response of rock was provided. The results of an investigation lead ...The limitations of several existing classical rock damage models were critically appraised. Thereafter, a description of a new model to estimate the response of rock was provided. The results of an investigation lead to the development and confirmation of a new index parabola damage model. The new model is divided into two parts, fictitious damage and real damage and bordered by the critical damage point. In fictitious damage, the damage variable follows the index distribution, while in the real damage a parabolic distribution is used. Thus, the so called index parabola damage model is derived. The proposed damage model is applied to simulate the damage procedure of marble under uni axial loading. The results of the tests show that the proposed model is in excellent agreement with experimental data, in particular the nonlinear characteristic of rock deformation is adequately represented. [展开更多
We propose a method for extracting the properties of the isobaric mass parabola based on the total doubleβ-decay energies of isobaric nuclei.Two important parameters of the mass parabola,the location of the mostβ-st...We propose a method for extracting the properties of the isobaric mass parabola based on the total doubleβ-decay energies of isobaric nuclei.Two important parameters of the mass parabola,the location of the mostβ-stable nuclei ZA and the curvature parameter bA,are obtained for 251 A values,based on the total doubleβ-decay energies of nuclei compiled in the AME2016 database.The advantage of this approach is that the pairing energy term PA caused by the odd-even variation can be removed in the process,as well as the mass excess M(A,ZA)of the most stable nuclide for the mass number A,which are employed in the mass parabolic fitting method.The Coulomb energy coefficient ac=0.6910 MeV is determined by the mass difference relation for mirror nuclei,and the symmetry energy coefficient is also studied by the relation asym(A)=025 bAZA.展开更多
电力线三维重建是直升机激光雷达(light detection and ranging,LiDAR)电力巡线的一项重要内容。提出了两种基于直升机LiDAR点云的电力线三维重建模型,包括直线段与悬链线段相结合的模型(简称为"模型一")、直线段与抛物线段...电力线三维重建是直升机激光雷达(light detection and ranging,LiDAR)电力巡线的一项重要内容。提出了两种基于直升机LiDAR点云的电力线三维重建模型,包括直线段与悬链线段相结合的模型(简称为"模型一")、直线段与抛物线段相结合的模型(简称为"模型二")。其中,直线段位于xy平面,悬链线段和抛物线段位于过直线段的铅垂面。模型的创新之处在于两者均使用了电力线LiDAR点水平坐标进一步投影到xy平面上相应的拟合直线产生的比例因子作为悬链线、抛物线方程的参数。使用6个有代表性的实验数据、4个评价指标对6种重建模型(已有的4种和上述提出的两种)的性能进行评价和对比。实验结果表明,模型二具有最高的重建效率和最高的重建精度。另外,实验结果进一步说明铅垂面及铅垂面上投影模型的选择、误差因素的考虑等3个因素对重建模型性能有着显著影响。展开更多
文摘An solution to tooth deformation of parabola tooth belt has been obtainedby complex function method of plane elastic theory,with the tooth deformation specifiedand the middle line between neighboring teeth displaced.The law governing the toothdeformation under load and the effect of deformation on distribution of load are analysed aswell.Computer software has been compiled on the basis of this way of solution and anaccurate way of calculation is provided for study on tooth deformation and loaddistribution.
基金Project supported by the National Natural Science Foundation of China(No.10671179)the Natural Science Foundation of Yunnan Province of China(No.2003A0018M)
文摘By finding a parabola solution connecting two equilibrium points of a planar dynamical system, the existence of the kink wave solution for 6 classes of nonlinear wave equations is shown. Some exact explicit parametric representations of kink wave solutions are given. Explicit parameter conditions to guarantee the existence of kink wave solutions are determined.
文摘The limitations of several existing classical rock damage models were critically appraised. Thereafter, a description of a new model to estimate the response of rock was provided. The results of an investigation lead to the development and confirmation of a new index parabola damage model. The new model is divided into two parts, fictitious damage and real damage and bordered by the critical damage point. In fictitious damage, the damage variable follows the index distribution, while in the real damage a parabolic distribution is used. Thus, the so called index parabola damage model is derived. The proposed damage model is applied to simulate the damage procedure of marble under uni axial loading. The results of the tests show that the proposed model is in excellent agreement with experimental data, in particular the nonlinear characteristic of rock deformation is adequately represented. [
基金Supported by National Natural Science Foundation of China,(11961131010,11422548 and U1867212)the Foundation of Guangxi innovative team(2017GXNSFGA198001,2016GXNSFFA380001)innovation fund of undergraduate at Anyang Normal University(ASCX/2019-Z055)
文摘We propose a method for extracting the properties of the isobaric mass parabola based on the total doubleβ-decay energies of isobaric nuclei.Two important parameters of the mass parabola,the location of the mostβ-stable nuclei ZA and the curvature parameter bA,are obtained for 251 A values,based on the total doubleβ-decay energies of nuclei compiled in the AME2016 database.The advantage of this approach is that the pairing energy term PA caused by the odd-even variation can be removed in the process,as well as the mass excess M(A,ZA)of the most stable nuclide for the mass number A,which are employed in the mass parabolic fitting method.The Coulomb energy coefficient ac=0.6910 MeV is determined by the mass difference relation for mirror nuclei,and the symmetry energy coefficient is also studied by the relation asym(A)=025 bAZA.
文摘电力线三维重建是直升机激光雷达(light detection and ranging,LiDAR)电力巡线的一项重要内容。提出了两种基于直升机LiDAR点云的电力线三维重建模型,包括直线段与悬链线段相结合的模型(简称为"模型一")、直线段与抛物线段相结合的模型(简称为"模型二")。其中,直线段位于xy平面,悬链线段和抛物线段位于过直线段的铅垂面。模型的创新之处在于两者均使用了电力线LiDAR点水平坐标进一步投影到xy平面上相应的拟合直线产生的比例因子作为悬链线、抛物线方程的参数。使用6个有代表性的实验数据、4个评价指标对6种重建模型(已有的4种和上述提出的两种)的性能进行评价和对比。实验结果表明,模型二具有最高的重建效率和最高的重建精度。另外,实验结果进一步说明铅垂面及铅垂面上投影模型的选择、误差因素的考虑等3个因素对重建模型性能有着显著影响。