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Development of a new analytical tool to design hierarchical truss beams for natural frequency

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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.

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Authors and Affiliations

  1. Aerospace Engineering Department, Sharif University of Technology, P.O. Box, 11365-8639, Tehran, Iran

    Norodin Fazli, Seyed Mohammd Bagher Malaek, Ali Abedian & Hessamodin Teimouri

Authors
  1. Norodin Fazli
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  2. Seyed Mohammd Bagher Malaek
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  3. Ali Abedian
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  4. Hessamodin Teimouri
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Corresponding author

Correspondence to Ali Abedian.

Additional information

This paper was recommended for publication in revised form by Editor Yeon June Kang

Seyed M. Malaek is a professor at Sharif University of Technology in Tehran, Iran. His research interests include airplane design, flight performance optimization, and air traffic management. He is the author of two books in flight dynamics and modeling techniques and over 60 papers in the areas indicated. He has one patent on rotary cockpit for single seat aircraft. Dr. Malaek obtained his M.S. degree in 1986 and his Ph.D in 1990 from the University of Kansas, U.S.A.

Ali Abedian is an associate professor of aerospace engineering at Sharif University of Technology (SUT), Tehran, Iran. He is working in the areas of composite materials and aging of metallic and composite structures.

Norodin Fazli was born in Gonbad Kavoos city, in the north of Iran, in May of 1978. He received his B.Sc. and M.Sc. degrees in Aerospace Engineering from SUT in 2000 and 2002, respectively, and currently is a Ph.D student. His research interests are in the development of design strategies for special structures (i.e., tensegrity structures, mesh antennas and fractal structures).

Hessamodin Teimouri received his B.Sc. and M.Sc. degrees in Aerospace Engineering from SUT. His fields of interest are structural health monitoring, continuum damage mechanics, micromechanics of composites, FEM.

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Fazli, N., Malaek, S.M.B., Abedian, A. et al. Development of a new analytical tool to design hierarchical truss beams for natural frequency. J Mech Sci Technol 25, 2495–2503 (2011). https://doi.org/10.1007/s12206-011-0733-0

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  • DOI: https://doi.org/10.1007/s12206-011-0733-0

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