Frequency and response analysis for cellular honeycomb structures under Hamilton system

Purpose - The purpose of this paper is to analyze the frequency and response of hexagonal cell honeycomb structures under Hamilton system. Design/methodology/approach - Taking orthotropic sandwich cylinder as the analytical model, the basic equilibrium equations are transformed into Hamilton system, where the canonical transformation, the extended Wittrick-Williams algorithm and the precise integration method can be applied to calculate the frequency and the responses of the honeycomb sandwich structures. Findings - For the cellular structures, the basic frequency is the most important which can be affected greatly by the wave number. It is also found that the displacement mode shape is dominated by the radial displacement and the axial principal stress is much higher than that of the radial or the circumferential principal stress for the sandwich cylinders. Originality/value - A new solution procedure is proposed for the cellular structures by constructing the Hamilton matrix in the cylindrical coordinates. The analysis system is thus transformed from Lagrange to Hamilton.