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针对高温下含裂纹梁损伤振动的研究中不考虑温度对材料性能的影响等不足,分析了含裂纹简支梁的振动频率随温度的变化趋势,建立了高温下含裂纹简支梁的振动频率方程,并对高温下含裂纹简支铝合金梁进行了数值模拟运算,分析了其振动频率随温度的变化情况,给出了高温下含裂纹铝合金简支梁的振动频率与弹性模量的关系式.分析结果表明:温度的升高导致了材料弹性模量的下降,而弹性模量的下降又导致了梁自振频率的降低,随着温度的升高,裂纹的相对深度越大,梁自振频率下降幅度越大;裂纹位置离支座越近,对梁自振频率的变化影响越小.
Aiming at the damage and vibration of cracked beam under high temperature, the influence of temperature on the material properties is not considered. The vibration frequency of cracked simply supported beam with temperature is analyzed. The vibration frequency of cracked simply supported beam under high temperature is established. The numerical simulation of the cracked simply supported aluminum alloy beam at high temperature is carried out. The variation of the vibration frequency with temperature is analyzed. The vibrational frequency and elastic modulus of the cracked aluminum alloy simple beam under high temperature The results show that the increase of temperature leads to the decrease of the elastic modulus of the material, and the decrease of the elastic modulus leads to the decrease of the natural frequency of the beam. As the temperature increases, the relative depth of the crack increases and the natural frequency of the beam The greater the decrease is; the closer the crack location is to the support, the less influence on the natural frequency of the beam.