This study modeled the moving-vehicle-induced forcing excitation on a single-span prismatic bridge as a multiple frequency-multiplication harmonic load on the modal coordinates of a linear elastic simple Euler–Bernoulli beam, and investigated the forced modal oscillation and resonance behavior of this type of dynamic system. The forced modal responses consist of multiple frequency-multiplication steady-state harmonics and one damped mono-frequency complementary harmonic. The analysis revealed that a moving load induces high-harmonic forced resonance amplification when the moving speed is low. To verify the occurrence of high-harmonic forced resonance, numerical tests were conducted on single-span simple beams based on structural modeling using the finite element method (FEM) and a moving sprung-mass oscillator vehicle model. The forced resonance amplification characteristics of the fundamental mode for beam response estimation are presented with consideration to different end restraint conditions. The results reveal that the high-harmonic forced resonance may be significant for the investigated beams subjected to vehicle loads moving at specific low speeds. For the investigated single-span simple beams, the moving vehicle carriage heaving oscillation modulates the beam modal frequency, but does not induce notable variation of the modal oscillation harmonic structure for the cases that vehicle of small mass moves in low speed.

本研究将单跨棱柱桥上移动车辆引起的力激励建模为线弹性简单欧拉-伯努利梁模态坐标上的多倍频谐波载荷，并研究了受迫模态振动和共振行为。这种类型的动态系统。受迫模态响应由多个倍频稳态谐波和一个阻尼单频互补谐波组成。分析表明，移动负载在低移动速度时会引起高次谐波强迫共振放大。为了验证高次谐波受迫共振的发生，基于有限元法（FEM）结构建模和移动簧载质量振荡器车辆模型，对单跨简梁进行了数值试验。考虑不同端部约束条件，给出了梁响应估计基模的受迫谐振放大特性。结果表明，对于所研究的承受特定低速移动车辆载荷的梁，高次谐波受迫共振可能很重要。对于所研究的单跨简支梁，移动车辆车厢垂荡振动调制了梁模态频率，但对于小质量车辆低速移动的情况，不会引起模态振动谐波结构的显着变化。结果表明，对于所研究的承受特定低速移动车辆载荷的梁，高次谐波受迫共振可能很重要。对于所研究的单跨简支梁，移动车辆车厢垂荡振动调制了梁模态频率，但对于小质量车辆低速移动的情况，不会引起模态振动谐波结构的显着变化。结果表明，对于所研究的承受特定低速移动车辆载荷的梁，高次谐波受迫共振可能很重要。对于所研究的单跨简支梁，移动车辆车厢垂荡振动调制了梁模态频率，但对于小质量车辆低速移动的情况，不会引起模态振动谐波结构的显着变化。