不同模量弯曲梁的自由振动

研究了拉压不同模量弯曲梁的自由振动问题.经典弹性理论中弯曲梁主振型函数为连续正弦函数,当引入材料的拉压不同模量性时,其固有频率和主振型函数均发生改变,固有频率将随弯曲刚度的变化而变化,并且由于中性轴在振动过程中发生跳变,使主振型函数成为分段函数,不同模量性越强,这种改变就越大,当拉压模量E =E-时,该分段函数又回到了经典弹性理论上来.

Free Vibration of the Bending Beam about Different Tensile-compressive Modulus

This article has studied the free vibration problem of the bending beam with different tensile-compressive modulus.In the classic elasticity theories,the main vibration mode function of the bending beam is continuous sine function.When the quantity of different tensile-compressive modulus about material has been led into it,its inherent frequency and main vibration mode function will both change,the inherent frequency will change with the variety of the bending rigidity De.And the main vibration mode function will change into cent segment function via the revulsion of the neutral axis when it vibrates.The more different the modulus quantity is,the more it changes.When the elastic modulus E equals to E-,the cent segment function will come back to the classic elasticity theory.