等效刚度法在车体垂向振动频率计算中的应用研究 Application of Equivalent Stiffness in Vertical Vibration Frequency of Car Body

张萌, 张硕韶, 孙海荣
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Abstract

本文采用等效刚度法,将铁道车辆车体这种复杂结构等效为等截面梁;应用弯曲变形能相等的原理,结合车体特征,并引入了相关修正系数,得到了车体的等效惯性矩Ie。以铁木辛柯梁的振动频率计算公式为依据,并在长度方向上对车体的面积及剪切形状系数进行了修正,得到了最终的计算公式。将简单车体及某型高速车体的参数代入公式,并将计算得到的结果与有限元结果进行了对比,证明了计算方法的可靠性,为车体垂弯频率的计算提供一种参考计算方法。 The railway vehicle car-body can be equivalent to the uniform beam with a method of equivalent stiffness. Equivalent inertia moment Ie can be calculated with bending strain energy equality the-ory and a related coefficient according to car-body structure. With the Timoshenko beam theory and some models, a final formula is obtained. A simple car-body model and a high-speed car-body model are calculated with above method, and there are acceptable errors between analytical and finite element results, which is a reference method for car-body design.
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等效刚度法在车体垂向振动频率计算中的应用研究 Application of Equivalent Stiffness in Vertical Vibration Frequency of Car Body
本文采用等效刚度法,将铁道车辆车体这种复杂结构等效为等截面梁;应用弯曲变形能相等的原理,结合车体特征,并引入了相关修正系数,得到了车体的等效惯性矩Ie。以铁木辛柯梁的振动频率计算公式为依据,并在长度方向上对车体的面积及剪切形状系数进行了修正,得到了最终的计算公式。将简单车体及某型高速车体的参数代入公式,并将计算得到的结果与有限元结果进行了对比,证明了计算方法的可靠性,为车体垂弯频率的计算提供一种参考计算方法。 The railway vehicle car-body can be equivalent to the uniform beam with a method of equivalent stiffness. Equivalent inertia moment Ie can be calculated with bending strain energy equality the-ory and a related coefficient according to car-body structure. With the Timoshenko beam theory and some models, a final formula is obtained. A simple car-body model and a high-speed car-body model are calculated with above method, and there are acceptable errors between analytical and finite element results, which is a reference method for car-body design.
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