使用傳統方法對結構進行非線性動力分析非常耗時，尤其是對於塑鉸、構件破壞和結構倒塌等複雜問題。傳統的塑鉸模擬通常使用集中彈簧模型，不僅不能描述塑鉸區截面上纖維的應力應變關係，也不能考慮雙軸力矩和軸向載荷之間的相互作用。另一方面，纖維元素法可以合理地模擬圍束混凝土、無圍束混凝土和鋼筋的遲滯行為。然而，使用纖維元素在計算上是相當耗時的，因此在實踐中並不常實施。為了解決這個問題，本研究將纖維元素法引入到最近開發的新隱式非線性動力有限元法 (NINDFEM) 中，用於模擬三維鋼筋混凝土建築物受地震後的結果。為了驗證所提出的算法，通過非線性靜態和動態分析模擬了具有不同材料本構關係的多個模型。結果表顯示，所提出的方法可以準確地模擬塑鉸的非線性行為並主導計算效率。此外，所提出的模型可以在一個斷面中逐步描述不同纖維的破壞機制，這是Sap2000、Opensees等常規軟件無法實現的。;The nonlinear dynamic analysis of structures using the traditional methods is very time-consuming especially for complex problems including plastic hinges, failure of components, and collapse of structures. The conventional simulation of plastic hinges usually uses concentrated spring models which cannot depict the stress-strain relationship of fibers on a cross-section in a plastic-hinge zone and cannot consider the interaction between biaxial moment and axial load. The fiber element method, on the other hand, can reasonably simulate the hysteretic behavior of confined concrete, unconfined concrete, and steel. However, using fiber elements is computationally expensive and hence is not often implemented in practice. To address it, this study introduces the fiber element method into the recently developed novel implicit nonlinear dynamic finite element method (NINDFEM) for simulating 3-D reinforced concrete buildings subjected to earthquakes. To verify the proposed algorithm, multiple models with different material constitutive relationships are simulated through nonlinear static and dynamic analyses. The result shows that the proposed method can accurately simulate the nonlinear behavior of plastic hinges and dominate the computational efficiency. Furthermore, the proposed model can progressively describe the failure mechanism of different fibers in a section, which cannot be achieved by conventional software, such as Sap2000, Opensees, etc.
