Abstract
Abstract A systematical comparative study of some methods for complete force and moment balance is presented in this paper, such as, the linearly independent vectors method, the mass-moment substitution method, the complex mass substitution method and a numerical method by a few kinematic positions for force balance; the quasi-linearly independent vectors method and the momentum-moment substitution method for complete moment balance. Their fundamental principles and characteristics are described and their relative merits and some limitations are discussed. This comparative study shows: (1) for complete force balance, the linearly independent vectors method and the mass-moment substitution method are two systematical methods. Relatively, the latter has two merits: i) according to the derived formula, the force balance conditions can be written down directly instead of extracting them from kinematic equations of a linkage, and derivation of the formula is rather simple; ii) there need not to introduce the complex masses and to determine their loci. (2) for complete moment balance, the momentum-moment substitution method is a systematical theory and there are two merits: i) according to the derived formula, the moment balance conditions can be written down directly instead of extracting them from kinematic equations of the linkage; ii) the basic idea of this method is the same as of the mass-moment substitution method. Perhaps, the mass-moment and momentum-moment substitution method is a systematical and practical theory for complete force and moment balance of planar and spatial linkages.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call