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| Development of a new analytical tool to design hierarchical truss beams for natural frequency
Norodin Fazli, Seyed Mohammd Bagher Malaek, Ali Abedian* and Hessamodin Teimouri
The Journal of Mechanical Science and Technology, vol. 25, no. 10, pp.2495-2503, 2011
Abstract : A set of recursive equations are introduced for optimum design of a wide range of hierarchical truss beams to satisfy a minimum
required natural frequency. The design equations are based on a general analytical solution, which are derived based on a critical dimensional
analysis. A practical example is examined in both 2D and 3D spaces, which promises substantial mass reduction, as much as 99%,
when using high order hierarchical truss beams. The results are verified by numerical evaluation of three case studies. The approach
looks also very promising to design nanostructures when it comes to the problems associated with vibration.
Keyword : Hierarchical structure; Natural frequency; Truss beam; Dimensional analysis |
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