Considering the elastic supports on both sides of suspenders, the damping effect of shock pads in arch rib and tie beams, and the influence of added masses of arch rib and tie beams, an implicit analytical expression for suspender tension and its lateral vibration frequency was derived based on the theory of Euler-Bernoulli beam with complex boundary conditions. Methods to determine the parameters of the expression and their sensitivity analysis were provided. The Zhengzhou Yellow River Bridge of the expressway of Beijing-Hong Kong-Macao was taken as an example to verify the expression. The calculation results show that this expression has comprehensively considered the actual boundary condition of suspender and the numerical results fit the experimental data well both for long and short suspenders. When the rotational restraint of arch rib or tie beam on suspender is not considered the boundary condition is more similar to fixed connection for the short suspender. For a rigid tie and rigid arch combined bridge of half through or through arch bridge, the suspender is closer to fixed connection.%考虑吊杆两端弹性支承及拱肋、系杆梁里设置的减振垫减振作用和拱肋、系杆梁附加质量等的影响，基于Euler—Bernoulli梁理论建立了复杂边界条件下吊杆张力与其横向振动频率之间关系的隐式解析表达式，给出表达式中各参数的确定方法，分析边界参数的灵敏度，以京港澳高速公路郑州黄河二桥为实例对计算公式进行验证。计算结果表明：该表达式比较全面地考虑了吊杆实际边界条件，无论对于短吊杆还足长吊杆，计算结果都比较准确；当不考虑拱肋或系杆梁对吊杆的转动约束时，对于短吊杆来说，其边界条件更类似于固接；对于刚性系杆梁刚性拱类型的中、下承式拱桥，吊杆边界约束条件更接近于固接。
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