Under the traditional dynamic model,the conventional method for solving the rotation angle of a rigid body is to use the fixed-axis rotation law of the rigid body,but the known rotation shaft position must be used as ...Under the traditional dynamic model,the conventional method for solving the rotation angle of a rigid body is to use the fixed-axis rotation law of the rigid body,but the known rotation shaft position must be used as a prerequisite.In practical work,for the rotation of a rigid body under multiple forces,solving the shaft is often a difficult problem.In this paper,we consider the rigid body of the disc is subjected to the force of uneven magnitude from multiple angles,the position of the rotating shaft is obtained by iterative inversion through the rigid body rotation law and the dichotomy method.After the position of the shaft is determined,we establish a differential equation model based on the law of rigid body rotation,the rotation angle of the rigid body thus being solved based on this model.Furthermore,an optimization algorithm such as genetic algorithm is used to search for a correction scheme to return the rigid body to equilibrium at any given deflection angle.The model and method are based on computer to explore the law of rotation,the practical application of them play an important role in studying the concentric drum movement and the balance of handling furniture.展开更多
The theory of rotational relativistic mechanics is discussed and the theory of relativistic analytical mechanics' of the rotational systems is constructed. The relativistic generalized kinetic energy function for ...The theory of rotational relativistic mechanics is discussed and the theory of relativistic analytical mechanics' of the rotational systems is constructed. The relativistic generalized kinetic energy function for the rotational systems [GRAPHICS] and the generalized acceleration energy function [GRAPHICS] are constructed, and furthermore, the Hamilton principle and three kinds of D'Alembert principles are given. For the systems with holonomic constraints, the relativistic Lagrange equation, Nielsen equation, Appell equation and Hamilton canonical equation of the rotational systems are constructed; For the systems with nonholonomic constraints, the relativistic Routh equation, Chaplygin equation, Nielsen equation and Appell equation of the rotational systems are constructed; the relativistic Noether conservation law of the rotational systems are given too.展开更多
In the present paper, the establishment of a systematic multi-barycenter mechanics is based on the multi-particle mechanics. The new theory perfects the basic theoretical system of classical mechanics, which finds the...In the present paper, the establishment of a systematic multi-barycenter mechanics is based on the multi-particle mechanics. The new theory perfects the basic theoretical system of classical mechanics, which finds the law of mutual interaction between particle groups, reveals the limitations of Newton’s third law, discovers the principle of the intrinsic relationship between gravity and tidal force, reasonably interprets the origin and change laws for the rotation angular momentum of galaxies and stars and so on. By applying new theory, the multi-body problem can be transformed into a special two-body problem and for which an approximate solution method is proposed, the motion law of each particle can be roughly obtained.展开更多
为探寻定轴钢齿种床整备装置作业执行部件清秸单体因刀齿排布旋向不同而对其作业性能及负载的影响,该文在介绍左、右螺旋清秸单体的机构组成及工作原理的基础上,理论分析确定其等距切土节距条件,依此确定了玉米大垄双行清秸单体参数,并...为探寻定轴钢齿种床整备装置作业执行部件清秸单体因刀齿排布旋向不同而对其作业性能及负载的影响,该文在介绍左、右螺旋清秸单体的机构组成及工作原理的基础上,理论分析确定其等距切土节距条件,依此确定了玉米大垄双行清秸单体参数,并进行运动学仿真,仿真验证了等距切土节距条件的正确,并对比分析总结两者打击规律：刀轴纵向前进,侧向旋转,刀齿按序号1~9次序依次与地面进行打击,左旋清秸单体刀齿沿作业方向打击位置排序为186429753,右旋清秸单为594837261,单头螺线刀齿打击方向,左旋清秸单体与作业方向相同,打击间距等于4个节距,整体采用反向插补式打击;右旋清秸单体与作业方向相反,打击间距等于2个节距,整体采用推进式打击,且两者具有相同的螺旋进距及切土节距。利用仿真模拟及田间试验的方法对两者的载荷状况及作业性能进行对比分析,左、右螺旋清秸单体仿真切土平均阻力及离散度分别0.0658 k N、66.2及0.062 k N、60.1;田间扭矩消耗均值、标准差及根茬清除率分别为64.6 N·m、7.2、93.8%及62.7 N·m、5.1、95.3%,右旋清秸单体所有评价指标除根茬清除率外皆小于左旋清秸单体,表明右旋清秸单体具有较小的载荷消耗、载荷波动及较佳的作业性能。该研究可为具有排布特性的土壤耕作机具研究提供参考。展开更多
文摘Under the traditional dynamic model,the conventional method for solving the rotation angle of a rigid body is to use the fixed-axis rotation law of the rigid body,but the known rotation shaft position must be used as a prerequisite.In practical work,for the rotation of a rigid body under multiple forces,solving the shaft is often a difficult problem.In this paper,we consider the rigid body of the disc is subjected to the force of uneven magnitude from multiple angles,the position of the rotating shaft is obtained by iterative inversion through the rigid body rotation law and the dichotomy method.After the position of the shaft is determined,we establish a differential equation model based on the law of rigid body rotation,the rotation angle of the rigid body thus being solved based on this model.Furthermore,an optimization algorithm such as genetic algorithm is used to search for a correction scheme to return the rigid body to equilibrium at any given deflection angle.The model and method are based on computer to explore the law of rotation,the practical application of them play an important role in studying the concentric drum movement and the balance of handling furniture.
文摘The theory of rotational relativistic mechanics is discussed and the theory of relativistic analytical mechanics' of the rotational systems is constructed. The relativistic generalized kinetic energy function for the rotational systems [GRAPHICS] and the generalized acceleration energy function [GRAPHICS] are constructed, and furthermore, the Hamilton principle and three kinds of D'Alembert principles are given. For the systems with holonomic constraints, the relativistic Lagrange equation, Nielsen equation, Appell equation and Hamilton canonical equation of the rotational systems are constructed; For the systems with nonholonomic constraints, the relativistic Routh equation, Chaplygin equation, Nielsen equation and Appell equation of the rotational systems are constructed; the relativistic Noether conservation law of the rotational systems are given too.
文摘In the present paper, the establishment of a systematic multi-barycenter mechanics is based on the multi-particle mechanics. The new theory perfects the basic theoretical system of classical mechanics, which finds the law of mutual interaction between particle groups, reveals the limitations of Newton’s third law, discovers the principle of the intrinsic relationship between gravity and tidal force, reasonably interprets the origin and change laws for the rotation angular momentum of galaxies and stars and so on. By applying new theory, the multi-body problem can be transformed into a special two-body problem and for which an approximate solution method is proposed, the motion law of each particle can be roughly obtained.
文摘为探寻定轴钢齿种床整备装置作业执行部件清秸单体因刀齿排布旋向不同而对其作业性能及负载的影响,该文在介绍左、右螺旋清秸单体的机构组成及工作原理的基础上,理论分析确定其等距切土节距条件,依此确定了玉米大垄双行清秸单体参数,并进行运动学仿真,仿真验证了等距切土节距条件的正确,并对比分析总结两者打击规律：刀轴纵向前进,侧向旋转,刀齿按序号1~9次序依次与地面进行打击,左旋清秸单体刀齿沿作业方向打击位置排序为186429753,右旋清秸单为594837261,单头螺线刀齿打击方向,左旋清秸单体与作业方向相同,打击间距等于4个节距,整体采用反向插补式打击;右旋清秸单体与作业方向相反,打击间距等于2个节距,整体采用推进式打击,且两者具有相同的螺旋进距及切土节距。利用仿真模拟及田间试验的方法对两者的载荷状况及作业性能进行对比分析,左、右螺旋清秸单体仿真切土平均阻力及离散度分别0.0658 k N、66.2及0.062 k N、60.1;田间扭矩消耗均值、标准差及根茬清除率分别为64.6 N·m、7.2、93.8%及62.7 N·m、5.1、95.3%,右旋清秸单体所有评价指标除根茬清除率外皆小于左旋清秸单体,表明右旋清秸单体具有较小的载荷消耗、载荷波动及较佳的作业性能。该研究可为具有排布特性的土壤耕作机具研究提供参考。
