A Simplified Method for Deriving Equations of Motion For Continuous Systems with Flexible Members
A method is proposed for deriving dynamical equations for systems with both rigid and flexible components. During the derivation, each flexible component of the system is represented by a "surrogate element" which captures the response characteristics of that component and is easy to...
| Main Authors: | , |
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| Language: | en_US |
| Published: |
2004
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| Online Access: | http://hdl.handle.net/1721.1/5951 |
| _version_ | 1811083510799138816 |
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| author | Singer, Neil C. Seering, Warren P. |
| author_facet | Singer, Neil C. Seering, Warren P. |
| author_sort | Singer, Neil C. |
| collection | MIT |
| description | A method is proposed for deriving dynamical equations for systems with both rigid and flexible components. During the derivation, each flexible component of the system is represented by a "surrogate element" which captures the response characteristics of that component and is easy to mathematically manipulate. The derivation proceeds essentially as if each surrogate element were a rigid body. Application of an extended form of Lagrange's equation yields a set of simultaneous differential equations which can then be transformed to be the exact, partial differential equations for the original flexible system. This method's use facilitates equation generation either by an analyst or through application of software-based symbolic manipulation. |
| first_indexed | 2024-09-23T12:34:13Z |
| id | mit-1721.1/5951 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T12:34:13Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | mit-1721.1/59512019-04-12T08:28:15Z A Simplified Method for Deriving Equations of Motion For Continuous Systems with Flexible Members Singer, Neil C. Seering, Warren P. A method is proposed for deriving dynamical equations for systems with both rigid and flexible components. During the derivation, each flexible component of the system is represented by a "surrogate element" which captures the response characteristics of that component and is easy to mathematically manipulate. The derivation proceeds essentially as if each surrogate element were a rigid body. Application of an extended form of Lagrange's equation yields a set of simultaneous differential equations which can then be transformed to be the exact, partial differential equations for the original flexible system. This method's use facilitates equation generation either by an analyst or through application of software-based symbolic manipulation. 2004-10-04T14:15:57Z 2004-10-04T14:15:57Z 1993-05-01 AIM-1423 http://hdl.handle.net/1721.1/5951 en_US AIM-1423 11 p. 700835 bytes 413499 bytes application/octet-stream application/pdf application/octet-stream application/pdf |
| spellingShingle | Singer, Neil C. Seering, Warren P. A Simplified Method for Deriving Equations of Motion For Continuous Systems with Flexible Members |
| title | A Simplified Method for Deriving Equations of Motion For Continuous Systems with Flexible Members |
| title_full | A Simplified Method for Deriving Equations of Motion For Continuous Systems with Flexible Members |
| title_fullStr | A Simplified Method for Deriving Equations of Motion For Continuous Systems with Flexible Members |
| title_full_unstemmed | A Simplified Method for Deriving Equations of Motion For Continuous Systems with Flexible Members |
| title_short | A Simplified Method for Deriving Equations of Motion For Continuous Systems with Flexible Members |
| title_sort | simplified method for deriving equations of motion for continuous systems with flexible members |
| url | http://hdl.handle.net/1721.1/5951 |
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