“…Many previous studies have shown that it can simulate the propagation law of shock waves and their impact on the dynamic response of various structures, such as slabs [ 26 , 27 ], beams [ 28 ], bridge decks [ 29 ], and pipes [ 30 , 31 ]. As far as the pipes were consented, most of the researchers concentrated their efforts on studying the dynamic performance of pipes under single-point explosion load [ [13] , [14] , [15] , [16] , [17] , [18] , 30 , 31 ]. However, multiple explosions often occur in actual terrorist attacks or industrial demolition [ 32 , 33 ].…”