A Unified Solution for the Vibration Analysis of Lattice Sandwich Beams with General Elastic Supports

Free vibration analyses of lattice sandwich beams with general elastic supports have rarely been discussed in this field’s literature. In paper, a unified method is proposed to study the free characteristics under various boundary conditions. The convert three truss cores into an equivalent homogeneous layer and introduce two different types constraint springs simulate support at both ends beams. By changing rigidity restraint spring, conditions can be easily obtained without modifying solving algorithm process. order overcome all discontinuities or jumps associated conditions, displacement function usually as improved Fourier cosine series along four sine terms. On basis, unknown coefficients are treated generalized coordinates solved using Rayleigh–Ritz method. correctness present verified through comparison existing calculation results highly accurate, indicating that suitable for analyzing supports. addition, effects beam length, panel thickness, core height, radius inclination on natural frequencies arbitrary paper.