Equivalent inter-phase model of dynamic response to thin layer of different mechanical properties in engineering structures
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摘要: 研究了含异质薄层无限长弹性杆的动力响应问题, 采用了3种弹性薄层等效界面模型: 简单弹簧模型、考虑质量的弹簧模型和改进的弹簧模型. 后2种模型有效地模拟了杆的动力响应: 纵波的反射系数和透射系数在相当宽的低频范围内与理论值符合得很好. 提出的改进的弹簧模型既有简单弹簧模型的简单形式, 又包括了薄层惯性的影响, 比一般考虑质量的弹簧模型更加优越.Abstract: The dynamic response of an infinite long elastic rod with a thin layer of different mechanical properties has been investigated. Three equivalent inter-phase models of elastic thin layer have been used: simple spring, spring plus mass and modified spring. The dynamic response of the rod has been simulated effectively by last two models: the reflection and transmission coefficients of longitudinal waves are in good agreement with the exact results in a rather wide low frequency region. The modified spring model proposed in this work is better than common spring plus mass model: the inertia has been considered, and its form is as simple as simple spring.
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Key words:
- dynamic response /
- reflectivity /
- transmissivity /
- equivalent inter-phase model
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