Equations of Motion for Structures in Terms of Quasi-CoordinatesSource: Journal of Applied Mechanics:;1990:;volume( 057 ):;issue: 003::page 745Author:Roger D. Quinn
DOI: 10.1115/1.2897086Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A form of Lagrange’s equations in terms of quasi-coordinates (Boltzmann/Hamel equations) is presented. Identities are introduced which permit a straightforward method for formulating the equations of motion for structures for which the kinetic and potential energies are explicit functions of angular orientation. This formulation may be utilized once the energies are expressed in matrix form as functions of angular velocities and coordinate transformation matrices. This method is particularly useful for a large class of problems in the dynamics of structures including spacecraft, robots, ground vehicles, and aircraft.
keyword(s): Equations of motion , Equations , Functions , Space vehicles , Vehicles , Aircraft , Dynamics (Mechanics) AND Robots ,
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| contributor author | Roger D. Quinn | |
| date accessioned | 2017-05-08T23:31:49Z | |
| date available | 2017-05-08T23:31:49Z | |
| date copyright | September, 1990 | |
| date issued | 1990 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26324#745_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/106433 | |
| description abstract | A form of Lagrange’s equations in terms of quasi-coordinates (Boltzmann/Hamel equations) is presented. Identities are introduced which permit a straightforward method for formulating the equations of motion for structures for which the kinetic and potential energies are explicit functions of angular orientation. This formulation may be utilized once the energies are expressed in matrix form as functions of angular velocities and coordinate transformation matrices. This method is particularly useful for a large class of problems in the dynamics of structures including spacecraft, robots, ground vehicles, and aircraft. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Equations of Motion for Structures in Terms of Quasi-Coordinates | |
| type | Journal Paper | |
| journal volume | 57 | |
| journal issue | 3 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.2897086 | |
| journal fristpage | 745 | |
| journal lastpage | 749 | |
| identifier eissn | 1528-9036 | |
| keywords | Equations of motion | |
| keywords | Equations | |
| keywords | Functions | |
| keywords | Space vehicles | |
| keywords | Vehicles | |
| keywords | Aircraft | |
| keywords | Dynamics (Mechanics) AND Robots | |
| tree | Journal of Applied Mechanics:;1990:;volume( 057 ):;issue: 003 | |
| contenttype | Fulltext |