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| Content Provider | The American Society of Mechanical Engineers (ASME) Digital Collection |
|---|---|
| Author | Salehian, Armaghan Eugene, M. Cliff Daniel, J. Inman |
| Copyright Year | 2005 |
| Abstract | A simple approach is presented herein for obtaining the equivalent continuum model of an ISAT (Innovative Space Antenna Technology) truss structure in order to find the free vibration solutions for different coordinates of vibration. Kinetic and potential energy expressions are written in terms of the strain components of the elements and the nodal velocities. The Lagrangian approach is employed to find the governing partial differential equations of the structure which for the bending degrees of freedom lead to an equivalent Timoshenko beam. Finally, the physical characteristics of the continuum model are written in terms of the material and geometrical properties of the truss, which provide a simple tool for comparing dynamic characteristics of lattices with different properties. The natural frequencies are found for each of the bending, longitudinal, and torsional coordinates of vibration and are compared to those of a FEM solution for the purpose of validation. The analytical model shows very high accuracy in prediction of the natural frequencies of the original truss. |
| Sponsorship | Design Engineering Division and Computers and Information in Engineering Division |
| Starting Page | 1971 |
| Ending Page | 1977 |
| Page Count | 7 |
| File Format | |
| ISBN | 0791847381 |
| DOI | 10.1115/DETC2005-84025 |
| e-ISBN | 0791837661 |
| Volume Number | Volume 1: 20th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C |
| Conference Proceedings | ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference |
| Language | English |
| Publisher Date | 2005-09-24 |
| Publisher Place | Long Beach, California, USA |
| Access Restriction | Subscribed |
| Subject Keyword | Continuum model Inflatable structures Truss structures Isat Potential energy Degrees of freedom Finite element model Vibration Partial differential equations Free vibrations Air-supported structures Finite element methods Modeling Trusses (building) |
| Content Type | Text |
| Resource Type | Article |
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