STUDY ON MULTI-SCALE TEST MODEL INTERFACE CONNECTION METHOD CONSIDERING MULTI-PARAMETER SIMILARITY OF INTERNAL FORCES
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摘要:
建筑结构多尺度模型作为一种精度与成本的均衡方案，合理的界面连接方法能够较准确保证不同尺度模型之间的荷载传递与运动协调关系，但在结构多尺度模型试验研究中，简单、准确、适用范围广的界面连接方法与连接装置仍是研究的重点和难点。传统界面模拟方法中常建立刚性界面连接，会导致界面处各结点内力与原型结构相差较大，造成模型失真。针对该问题，该文提出了一种考虑剪力、轴力与弯矩多参数相似的多尺度模型界面连接方法，通过将构件尺度模型界面处的内部结点分解，建立了两相邻结点的内力耦联关系，并将其轴力解耦为层间剪力与弯矩共同提供，同时补充力矩作为“重叠域”提供倾覆弯矩。根据界面处各结点的内力平衡方程，建立了基于多点约束法的界面改进传递矩阵，实现了楼层-构件多尺度模型在界面处各结点剪力、轴力与弯矩的内力多参数相似，提出了改进传递矩阵的计算方法与流程，并建立了该方法的多尺度界面试验模型。最后，选取两层三跨框架结构作为典型试验模型，分别制作了全构件尺度原型模型与楼层-构件多尺度模型，通过开展竖向和水平荷载作用下的静力试验与振动台试验，验证了该方法的准确性和可行性。
Abstract:As a balanced scheme of accuracy and cost, the reasonable interface connection method of multi-scale model of building structure can accurately ensure the load transfer and motion coordination between different scale models. However, simple, accurate and widely applicable interface simulation methods and connection devices are still the focus and difficulty in the study of structural multi-scale model tests. Rigid interface connections are often established in traditional interface connection methods, which can make the internal force of each node at the interface different from the prototype structure, resulting in model distortion. Thusly, a multi-scale model interface simulation method considering the similarity of multi-parameters of shear force, of axial force and, of bending moment is proposed. By decomposing the internal nodes at the interface, the internal force coupling between two neighbor nodes is established, and the axial force is decoupled into the shear force and bending moment provided together, supplemental moments also provide overturning moments as "overlapping domains". According to the internal force balance equations of each node, an interface improvement transfer matrix based on the multi-point constraint method is established, the internal force multi-parameter similarity of shear force, of axial force and, of bending moment of each node at the interface is achieved for the storey-component multi-scale model, the calculation method and procedure of the improved transfer matrix are proposed, and the multi-scale interface test model is established. Finally, a frame structure was selected as a typical test model, and a full component-scale prototype model and a storey-component multi-scale model were produced respectively, and the accuracy and feasibility of the method were verified by the shaking table tests and by the static tests under vertical and horizontal loads.
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图 1 楼层-构件多尺度试验模型示意图
Figure 1. Schematic diagram of the floor-component multi-scale test model
表 1 原型结构主要设计参数
Table 1 Main design parameters of the frame structure
构件 尺寸/mm 材料 柱 20×10(截面) 亚克力板 梁 16×8(截面) 板 5(厚度) 
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表 2 原型结构界面处内力
Table 2 Internal forces at the interface of prototype structure
结点 NG/N NF/N FF/N MF/(N·mm) S1 −10.75 26.32 10.38 1.07 S2 −25.99 −7.42 14.62 1.57 S3 −25.99 7.42 14.62 1.57 S4 −10.75 −26.32 10.38 1.07
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表 3 多尺度模型主要设计参数
Table 3 Main design parameters of the multi-scale model
力学参数 构件名称
(连接两结点)长度/mm 截面
尺寸/mm材料 Heff 65 B 65 38×10 亚克力板 G1(β1)=G2(β3) 0.44 C11−G1=G3−C32 88 20×20 G2(β1)=G1(β3) 0.56 G1−C12=C31−G3 112 20×20 G1(β2)=G2(β2) 0.5 C21−G2=G2−C22 100 20×20 l1/l3 103 C11−S1=C32−S3/
C12−S2=C31−S3103 32×12/
30×10α1,1=α3,2/
α1,2=α3,10.65/0.35 l2 115 C21−S2=C22−S3 115 20×8 α2,1=α2,1 0.5 h1=h3 55 C1−G1=C3−G3 55 20×20 α1=α3 0.46 h2 43 C2−G2 43 20×20 α2 0.08
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表 4 加载工况
Table 4 Loading cases
工况 地震波 台面峰值加速度/(cm·s−2) 备注 0 白噪声 70 − 1 EL、TF 55 7度(0.15 g)多遇 2 EL、TF 100 7度(0.10 g)设防 3 EL、TF 150 7度(0.15 g)设防 4 EL、TF 220 7度(0.10 g)罕遇 5 EL、TF 310 7度(0.15 g)罕遇 7 白噪声 70 −
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