研究了脱空板和无脱空板的振动特性,将Winkler地基上部分脱空四边简支矩形薄板的自由振动问题转化为无脱空四边简支矩形薄板的受迫振动问题,并获得了相应的解.公式推导和仿真分析显示,脱空板的振动具有局部振动特性;脱空板的各阶固有频率远低于无脱空板同阶固有频率.仿真分析和实验测试验证了理论分析和问题求解的正确性.结论可应用于基于振动法的刚性路面板脱空检测.
The vibration characters of void slab and nonvoid slab were studied.The problem that viod rectangular thin slab with four simply supported edges on the upper part of Winkler foundation freely vibrates was transformed to the problem that nonviod rectangular thin slab with four simply supported edges was forced to vibrate and then the solution of the problem was obtained.The results of formula derivation and emulated analysis indicate that the vibration of void slab show character of local vibration,natural frequency of void slab is much lower than that of nonvoid slab.Emulated analysis and experimental test validated the correctness of the theoretical analysis and the solution,whose conclusions can be applied to the void checking of rigid road slab.