Criterion for judging failure of single-layer latticed dome based on strain energy density

In order to establish a reasonable and accurate criterion for judging the structural dynamic failure load, the working behavior of single-layer latticed dome under seismic loading is studied based on the structural strain energy density. Firstly, the expressions of the logarithmic strain energy density (LSED) for the ideal dome and the exponential strain energy density (ESED) for the dome with original defect related to seismic acceleration amplitude (A) are deduced. This provides a theoretical foundation for judging the failure load of single-layer latticed dome. Then, using the finite element general program ANSYS, the whole seismic response process of typical single-layer latticed domes is calculated and simultaneously the strain energy density of all elements is extracted. Next, it reveals that the structural LSED/ESED-A curve will produce a turning point once the structural strain energy density increases to a certain degree. Finally, a new criterion for judging the seismic failure of single-layer latticed dome is proposed based on the structural ESED-A curve feature and compared with the existing criterion.