MATHEMATICAL DESCRIPTION OF A FLEXIBLE CONNECTION OF LINKS AND ITS APPLICATIONS IN MODELING THE JOINTS OF SPATIAL LINKAGE MECHANISMS
Keywords:
MODELING, FLEXIBLE CONNECTION, REPLACEMENT MODEL, SPHERICAL JOINTAbstract
THE GENERAL MATHEMATICAL MODEL OF A FLEXIBLE CONNECTION OF LINKS BY MEANS OF SPRING-DAMPING ELEMENTS IS PRESENTED IN THE PAPER. THE FORMALISM OF HOMOGENEOUS TRANSFORMATION MATRICES IS USED TO DE-RIVE FORMULAS FOR THE ENERGY OF SPRING DEFORMATION AND THE FUNCTION OF THE DISSIPATION OF ENERGY OF THE SPRING-DAMPING ELEMENT. THE PRESENTED FORMULAS HAVE CONVENIENT FORMS TO CONNECT THEM TO THE LAGRANGE EQUATIONS OF THE SECOND ORDER. THE REPLACEMENT MODEL OF THE SPHERICAL JOINT IS PRESENTED AS A PARTICULAR CASE OF THE GENERAL MODEL AND IS USED FOR THE DYNAMICS ANALYSIS OF A ONE-DOF RSRRP LINKAGE MECHANISM. THE NUMERICAL RESULTS OBTAINED HERE USING THE REPLACEMENT MODEL WERE COMPARED WITH THE RESULTS FROM THE CUT-JOINT TECHNIQUE.
Downloads
Published
2016-11-01
Issue
Section
Articles
License
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License [CC BY] that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).