在“固-气”耦合相似材料的研究成果和最新进展的基础上，开展机械振动影响下物理相似模拟实验，深入开展煤岩体受振时力学特性的变化规律，研究振动环境下煤岩破坏过程中能量演化机制，从能量转化、能量演化及受振前后能量差的细观特征等三个方面研究了相似材料在振-压耦合过程中的能量行为，在振动模拟方面为煤与瓦斯安全共采体系提供理论基础。 运用正交实验设计法及综合评分法对振动实验所需相似材料的配比进行实验设计，通过不同材料特性对比分析进行原材料选择。应用材料力学、断裂力学、振动力学及热力学等基本理论与方法，构建振动频率与相似材料弹性模量、抗压强度的关系模型，研究了机械振动后相似材料力学参数的变化规律。基于自行组装的煤岩单轴约束下振动实验系统，对5组不同配比的相似材料试件开展力学性质、弹性应变密度能及耗散密度能测试实验，总结出机械振动频率对试件力学参数、弹性应变密度能及耗散密度能的影响。通过建立的相似材料力学参数与振动频率关系模型，计算得到不同振动频率下相似材料试件的抗压强度及弹性模量，与实验结果较为吻合。 单轴以及振-压两种不同的加载模式下，相似材料的能量演化规律均经历能量输入、能量积聚和能量耗散3个阶段。研究单向受载及振动下相似材料的能量演化规律，得到单向加载与振动耦合作用下相似材料的力学特征，分析了随频率演化的能量密度值、能量差及能量差比率的发展规律。能量密度值、能量差及能量差比率这三个参数可表征不同频率下相似材料力学特征的发展规律，并通过大量实验数据及关系模型论证分析方法的合理性。

Based on the latest progress and achievement of solid-gas coupling similar material, physical analog simulation experiment is carried out under the influence of mechanical vibration, and mechanics characteristics and the law of permeability of coal and rock under mechanical vibration are carried out, the energy evolution mechanism of damage process of coal and rock under the environment of evolution is studied, the energy transmission, the 3 aspects of mesoscopic characteristic including energy evolution and energy difference before and after vibration studies the energy representation of similar material in the process of vibration-pressure coupling, which has great significance in providing the theoretical foundation of mining coal and gas safety system. Orthogonal experimental design method and comprehensive evaluation method are applied for the experiment design of ratio of similar materials needed by the vibration experiment, raw materials is chosen through the coMParison analysis of different material properties. Materials of mechanics, fracture mechanics, vibration mechanics and thermodynamics are applied to build up relational model of the vibration frequency and elastic modulus and compressive strength of similar material, mechanics parameters change rule of similar material under mechanical vibration is studied. Based on independent research and development of vibration experiment system of the coal and rock under uniaxial restraint, the selected five groups of similar material specimen is used to carry out the test experiment about the mechanical properties of different proportion, the density of elastic strain and the dissipation of density, and sum up the effect of mechanical vibration frequency of specimen on mechanical parameters, the density of elastic strain and thee dissipation of density. Through the establishment of relational model of similar material mechanics parameters and vibration frequency, the similar material specimens of the compressive strength and modulus of elasticity under different vibration frequency is calculated, it is coincident with the experimental results. The energy evolution regularity of similar material is almost the same under the loading mode of vibration-pressure and uniaxial, and all experience 3 stages including the energy input, energy accumulation and energy dissipation. The energy evolution law of similar material is studied under unidirectional loading and vibration, and obtain the mechanical characteristic and analyze the development rule of the energy density values and energy difference and the energy difference ratio with the development of vibration frequency. Three parameters of the similar materials including Energy density value, energy difference and energy difference ratios can represent the development rule of mechanical characteristic of similar material under different frequencies. To promote theoretical research results, a simple analysis method is put forward considering similar material mechanical parameters under the influence of mechanical vibration, its rationality has been proved through a lot of experimental data and the model calculation.