摘要
为了研究简支矩形截面组合梁横向振动的固有频率,对影响固有频率的参数、振动失效进行了分析;采用材料力学的研究方法导出了简支矩形截面组合梁的折算弹性模量,其研究结果为折算弹性模量Er介于E1与E2之间,Er是材料弹性模量E1、E2和高度h1、h2的函数,与材料的宽度b无关;对其横向振动的固有频率通过伽辽金法进行求解,其研究结果为组合梁横向振动的固有频率与截面宽度无关,是材料弹性模量、高度、密度、梁长的函数,组合梁固有频率ωr并非一定在ω1和ω2之间.
In order to investigate the natural frequency of transverse vibration of simply supported compound beams with rectangular cross-section,the parameters,which have influence on the natural frequency,and vibrational failure was analyzed,and the method of mechanics of materials was used for obtaining the reduced elastic modulus of the beams.Investigation result showed that the reduced elastic modulus E_r was located between the modulus of material E_1 and E_2,being a function of E_1,E_2,and heights h_1 and h_2,and not depending on the width of the beam cross-section.The natural frequency of transverse vibration of the beam was solved with Galerkin method.The result showed that the natural frequency was independent of the width of the cross-section,being a function of the modulus of the material,and the height,length,and density of the beam.The natural frequency of the compound beam ω_r was not necessarily located between ω_1 and ω_2.
出处
《兰州理工大学学报》
CAS
北大核心
2005年第3期146-148,共3页
Journal of Lanzhou University of Technology
基金
湖南省教委青年骨干教师基金(9830)
关键词
简支矩形截面组合梁
横向振动
固有频率
伽辽金法
折算弹性模量
simply supported compound beams with rectangular cross-section
transverse vibration
natural frequency
Galerkin method
reduced elastic modulus
