School of Mechanical and Power Eng. , Shanghai Jiaotong Univ. , Shanghai 200030, China;
Guilin Univ. of Electronic Technology, Guilin 541004;
Tianjin Univ., Tianjin 300072;
School of Mechanical and Power Eng. , Shanghai Jiaotong Univ. , Shanghai 200030, China;
School of Mechanical and Power Eng. , Shanghai Jiaotong Univ. , Shanghai 200030, China;
three-ring gear transmission; lower order resonance phenomenon; natural frequency; primary reso-nance; parametric resonance;