Linear localized waves evolution in a discrete mass-in-mass lattice is studied. The presence of the attached mass in the model contributes to dispersion giving rise to appearance of both the acoustic and optic wave modes. Important features of the waves are described using the dispersion relation, which is obtained in a continuum limit of the original discrete equations using a harmonic wave solutions. We study numerically the localized initial perturbations evolution and compare the features of the numerical solutions with those obtained for the analytical harmonic wave ons. We have found differences in the wave dynamics depending on the parameters of the initial conditions. One scenario describes almost permanent shape and velocity counterpart localized waves propagation with oscillating standing wave around the position of the initial pulse. Another wave evolution accounts for a decrease in the moving wave amplitude with the developing oscillating tail behind the localized wave. Contrary to the periodic analytical solution, no evidence of a band gap is found in the simulations of localized waves.

研究了离散质对质晶格中的线性局域波演化。模型中附着质量的存在有助于色散，从而导致声波和光波模式的出现。使用色散关系描述波的重要特征，该色散关系是使用谐波解在原始离散方程的连续极限中获得的。我们对局部初始扰动演化进行了数值研究，并将数值解的特征与解析谐波得到的特征进行了比较。我们发现波浪动力学的差异取决于初始条件的参数。一种情况描述了几乎永久的形状和速度对应的局部波传播，在初始脉冲位置周围具有振荡驻波。另一种波演化解释了移动波振幅的减小，在局部波后面形成了发展中的振荡尾。与周期性解析解相反，在局部波的模拟中没有发现带隙的证据。