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The eigenvalues of isolated bridges with transverse restraints at the end abutments

机译：端基处有横向约束的隔离桥的特征值

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This paper examines the eigenvalues of multi-span seismically isolated bridges in which the transverse displacement of the deck at the end abutments is restricted. With this constraint the deck is fully isolated along the longitudinal direction, whereas along the transverse direction the deck is a simple-supported beam at the end abutments which enjoys concentrated restoring forces from the isolation bearings at the center piers. For moderate long bridges, the first natural period of the bridge is the first longitudinal period, while the first transverse period is the second period, given that the flexural rigidity of the deck along the transverse direction shortens the isolation period offered by the bearings in that direction. This paper shows that for isolated bridges longer than a certain critical length, the first transverse period becomes longer than the first longitudinal period despite the presence of the flexural rigidity of the deck. This critical length depends on whether the bridge is isolated on elastomeric bearings or on spherical sliding bearings. This result is also predicted with established commercially available numerical codes only when several additional nodes are added along the beam elements which are modeling the deck in-between the bridge piers. On the other hand, this result cannot be captured with the limiting idealization of a beam on continuous distributed springs (beam on Wrinkler foundation)-a finding that has practical significance in design and system identification studies. Finally, the paper shows that the normalized transverse eigenperiods of any finite-span deck are self-similar solutions that can be represented by a single master curve and are independent of the longitudinal isolation period or on whether the deck is supported on elastomeric or spherical sliding bearings.
机译：本文研究了多跨地震隔震桥梁的特征值，在这些桥梁中，端基桥面板的横向位移受到了限制。在这种约束下，桥板沿纵向完全隔离，而沿横向方向，桥板在端部支座处是简单支撑的梁，它受到来自中心墩处的隔离轴承的集中恢复力。对于中等长的桥梁，桥的第一个自然周期是第一个纵向周期，而第一个横向周期是第二个周期，因为甲板沿横向方向的抗弯刚度会缩短轴承提供的隔离时间，因为方向。本文表明，对于孤立的桥梁，其长度超过一定的临界长度，尽管桥面板具有抗弯刚度，但其第一横向周期却比第一纵向周期更长。该临界长度取决于桥是隔离在弹性轴承上还是在球形滑动轴承上。仅当沿着横梁元素添加几个附加节点（对桥墩之间的桥面进行建模）时，也可以使用已建立的可商购数字代码来预测此结果。另一方面，用连续分布的弹簧（在Wrinkler地基上的梁）的有限理想化不能捕获到该结果-这一发现在设计和系统识别研究中具有实际意义。最后，本文表明，任何有限跨甲板的归一化横向本征周期都是自相似解，可以由单个主曲线表示，并且与纵向隔离周期无关，也与甲板是靠弹性滑动还是球形滑动支撑无关轴承。

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