The research boom of functional concrete is aroused by the concept of metamaterials. In the paper, based on an one-dimensional spring-mass system model, a three-dimensional vibration model of a unit cell that is taken as the study object was established under linearelastic deformation . The soft coating and mortar were assumed as spring that has equivalent stiffness and equivalent length in the model. Analyzed the force of the system, the equation of undamped free vibration was deduced using the D′Alembert law. Supposing the complex solution of the vibration, the natural frequency was acquired. Using the initial conditions, the vibration solution was obtained. The influences of the initial conditions, aggregate geometry data, the elastic modulus of the soft coating and the mortar on the natural frequency and the vibration characteristics were analyzed by using the MATLAB. The results show that: the natural frequency increases with the soft coating, mortar elastic modulus, and amplitude; when the soft coating elastic modulus and amplitude are the same, the natural frequency decreases with the soft coating thickness; the initial phase increases with the soft coating and mortar elastic modulus; the effect of different aggregate geometry data upon vibration characteristics is significant. The research of the metaconcrete structures resisted to high-frequency loads and impact loads has engineering guiding value.
韩洁,路国运. 超材料混凝土单胞骨料的无阻尼自由振动特性研究[J]. 振动与冲击, 2021, 40(8): 173-178.
HAN Jie,LU Guoyun. A study of undamped free vibration characteristics on a metaconcrete unit cell. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(8): 173-178.
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