Frequency optimization of repetitive lattice beam-like structures using a continuum modelA new method for obtaining the maximum frequency design of a beam-like repetitive lattice structure is presented. Using existing techniques, the lattice is first modeled as an equivalent anisotropic Timoshenko beam. The computation of the stiffness and inertial properties of the beam, determined by matching the strain and kinetic energies of the beam with those of the lattice, is facilitated by the repetitive nature of the lattice. The optimum design is obtained by maximizing Rayleigh's quotient using methods of variational calculus. For the problem selected, results show excellent agreement with those obtained by traditional finite-element methods. Moreover, unlike FE methods, cpu time is relatively unaffected by the size of the truss.
Document ID
19880063665
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Reiss, Robert (Howard University Washington, DC, United States)
Jayaraman, K. (Howard Univ. Washington, DC, United States)