基于地震功率的运动方程的分析解
1Department of Civil Engineering, International University of Business Agriculture and Technology, Dhaka, 1230, Bangladesh.
Heliyon
|November 5, 2024
概括
本研究引入了一种新的基于功率的运动方程 (PBEM),用于单自由度 (SDOF) 系统的地震分析. PBEM提供了一种新的方法,用于预测地震负载下的结构反应.
科学领域:
- 结构工程 结构工程
- 地震分析 - - 地震分析
- 机械振动 机械振动
背景情况:
- 单个自由度 (SDOF) 系统的传统地震分析方法通常依赖于复杂的数值集成.
- 了解地震事件期间结构内的能量转移和功率动态对于准确的建模至关重要.
研究的目的:
- 开发和验证一种新的基于功率的运动方程 (PBEM),用于受地震刺激的SDOF系统.
- 建立外部和动力力之间的关系,用于预测地震反应.
- 为预测输入频率函数提供设计图表.
主要方法:
- 解决功率平衡方程 (PBE) 以导出外部/输入频率函数,时间解决方案和延展力 (SP) 方程.
- 将PBEM的特定解决方案应用于摇摆表测试 (道-土壤-堆相互作用,钢筋混凝土框架) 和现实世界案例研究 (博鲁道) 的实验数据.
- 验证动力和外部功率之间的关系,使用钢悬臂柱摇摆表测试.
主要成果:
- 该PBEM证明了与实验数据的合理一致,实验测试的差异为21.6%,案例研究的差异为19.5%.
- 对动力和外部功率关系的验证显示,与以前的研究相比,5%的小差异.
- 一个设计图表成功地开发出来,可以根据频率比和阻尼来预测输入频率函数.
结论:
- 拟议的基于功率的运动方程 (PBEM) 为SDOF系统的地震分析提供了可行且潜在的更高效的替代方案.
- PBEM有效地模拟了能源动态,为结构性反应提供了准确的预测.
- 开发的设计图表作为工程师在地震设计和分析中的实用工具.
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