Relative Importance of Horizontal and Vertical Components of Earthquake Motion on the Responses of Barrel Vault Cylindrical Roof Shells

Abstract eng:
During earthquake events, Civil Engineering structures are subjected to three components of earthquake. While these structures have been extensively investigated for horizontal component of earthquakes, there have been relatively few studies on the vertical ground motion. The few published studies of the effects of the vertical components of earthquakes on reinforced concrete bridges indicate that some failures during large earthquakes have been due to the vertical ground motions. There are also indications that thin shells are once again becoming a popular option for roofs covering large column free spaces. Especially in the seismically active regions, it is important to incorporate into design, consideration of how they will respond to the effects of vertical component of earthquake loading. However, the few past studies of the performance of roof shells in earthquake have been largely performed for the horizontal components of earthquake with the vertical component neglected. In this paper a semi-analytical method, which has been previously verified using a finite element modelling, is used to find the forced vibration response when barrel vault cylindrical shells are subjected to synchronous vertical motions recorded from typical earthquake records. The analytical method adopts an explicit solution based upon the Love-Timoshenko strain-displacement relationships and employs a Lagrangian approach to the derivation of the equations of motion. The assessment of the relative importance of the horizontal and vertical components of earthquakes shows that vertical components result in higher accelerations and stresses compared to the horizontal components.

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