Motion of a Rigid Body Supported at One Point by a Rotating Arm
This article details a scheme for evaluating the stability of motions of a system consisting of a rigid body connected at one point to a rotating arm. The nonlinear equations of motion for the system are formulated, and a method for finding exact solutions representing motions that resemble a state...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1993-01-01
|
| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-1993-1203 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832558275096215552 |
|---|---|
| author | Jeffrey D. Stoen Thomas R. Kane |
| author_facet | Jeffrey D. Stoen Thomas R. Kane |
| author_sort | Jeffrey D. Stoen |
| collection | DOAJ |
| description | This article details a scheme for evaluating the stability of motions of a system consisting of a rigid body connected at one point to a rotating arm. The nonlinear equations of motion for the system are formulated, and a method for finding exact solutions representing motions that resemble a state of rest is presented. The equations are then linearized and roots of the eigensystem are classified and used to construct stability diagrams that facilitate the assessment of effects of varying the body's mass properties and system geometry, changing the position of the attachment joint, and adding energy dissipation in the joint. |
| format | Article |
| id | doaj-art-cc765bd0c21644d19130ec6974acb688 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 1993-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-cc765bd0c21644d19130ec6974acb6882025-02-03T01:32:47ZengWileyShock and Vibration1070-96221875-92031993-01-011212113410.3233/SAV-1993-1203Motion of a Rigid Body Supported at One Point by a Rotating ArmJeffrey D. Stoen0Thomas R. Kane1Department of Mechanical Engineering, Division of Applied Mechanics, Stanford University, Stanford CA 94305, USADepartment of Mechanical Engineering, Division of Applied Mechanics, Stanford University, Stanford CA 94305, USAThis article details a scheme for evaluating the stability of motions of a system consisting of a rigid body connected at one point to a rotating arm. The nonlinear equations of motion for the system are formulated, and a method for finding exact solutions representing motions that resemble a state of rest is presented. The equations are then linearized and roots of the eigensystem are classified and used to construct stability diagrams that facilitate the assessment of effects of varying the body's mass properties and system geometry, changing the position of the attachment joint, and adding energy dissipation in the joint.http://dx.doi.org/10.3233/SAV-1993-1203 |
| spellingShingle | Jeffrey D. Stoen Thomas R. Kane Motion of a Rigid Body Supported at One Point by a Rotating Arm Shock and Vibration |
| title | Motion of a Rigid Body Supported at One Point by a Rotating Arm |
| title_full | Motion of a Rigid Body Supported at One Point by a Rotating Arm |
| title_fullStr | Motion of a Rigid Body Supported at One Point by a Rotating Arm |
| title_full_unstemmed | Motion of a Rigid Body Supported at One Point by a Rotating Arm |
| title_short | Motion of a Rigid Body Supported at One Point by a Rotating Arm |
| title_sort | motion of a rigid body supported at one point by a rotating arm |
| url | http://dx.doi.org/10.3233/SAV-1993-1203 |
| work_keys_str_mv | AT jeffreydstoen motionofarigidbodysupportedatonepointbyarotatingarm AT thomasrkane motionofarigidbodysupportedatonepointbyarotatingarm |