Abstract
In the previous papers, the authors analyzed the effect of asymmetric factors on flexural behavior of rubber-covered pressure rollers without roller-end shafts for the simplicity of mathematical analysis. However, the actual covered rollers have roller-end shaft at their extremities . Hence the effect of these roller-end shafts on load distribution should not be ignored.
The basic equations for the asymmetric bending of covered rollers without roller -end shafts derived in one of the previous papers are extended to deal with the asymmetric bending of covered rollers with roller-end shafts at their extremities . By using the general theory thus derived, the effect of following asymmetric factors on load distribution is analyzed :
(1) Length and flexural rigidity of section of roller-end shaft.
(2) Force acting on covered rollers at their support.
(3) Stiffness of mangle side frame.
The followings are a summary of the conclusions obtained from the present study :
(1) The load distribution along the working length of the covered rollers which have roller-end shafts at their extremities and which have asymmetry in forces acting on rollers and in structural property does not remain symmetric, even if the characteristic number A is zero and/or the stiffness of the side frames is infinite.
(2) The effect of the difference in roller-end shafts is not so marked as the effect of the difference in forces acting on rollers at their supports and in stiffness of the side frames.
(3) The effect of the differences in forces acting on rollers at their supports and in stiffness of the side frames on load distribution of covered rollers with the identical roller -end shaft at each extremity is proved to be the same order of magnitude as the effect of these differences on load distribution of covered rollers without roller-end shafts . Thus the addition of the roller-end shafts does not ameliorate the uniformity of load distribution, when the asymmetry in forces acting on rollers and in stiffness of side frames exists in a mangle.
