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1)  beam with two free ends
两端自由梁
1.
The integral transform solution of the semi-infinite elastic foundation under vertical steady loading is combined with the analytic solution of an elastic beam with two free ends,which leads to an analytical solution of the beam with two free ends on the semi-infinite elastic foundation.
将弹性半空间地基受任意横向荷载作用下的静力位移积分变换解与两端自由梁的弯曲解析解相结合,采用三角级数展开的方法,对地基反力不做任何假设,求得了弹性半空间地基上两端自由梁受任意横向荷载作用下的解析解,包括梁的挠度、弯矩及梁与地基之间的接触反力。
2)  free-free stepped beam
两端自由阶梯形梁
3)  free-ended beam
自由端梁
4)  free free cylindrical shell
两端自由圆柱薄壳体
5)  free beam
自由梁
1.
A study on the dynamic response modes of a free beam sujected step-loadings at two free ends
空间自由梁两端受阶跃载荷作用下的响应模式
2.
The rigid modal of free beam on inhomogeneous Winkler foundation or double-parameter foundation relates to the interaction between beam and soil.
非均匀单参数(Winkler)地基和双参数(Pasternak)地基上自由梁的刚体模态与梁体—土体间的相互作用有关,当约束或支承不影响梁的平动和转动时,相应的刚体模态则会出现。
3.
Utilizing finite difference method numerical elastic-plastic calculation of free beam on elastic foundation is made,which experience perpendicularly impact in midpoint.
利用有限差分法,对在中点受到质量块垂直撞击的弹性地基上自由梁进行了弹塑性数值计算,通过对响应早期梁中弯矩的分布与变化规律的分析,阐明了响应过程中弹性弯曲波的传播特征以及与塑性波的相互作用,为建立准确的分析模型和实际工程实践提供了指导。
6)  free free beam
自由梁
1.
The dynamic response of a free free beam with uniform rectangular cross section subjected to impact by a mass at both free end is analyzed theoretically.
对矩形截面自由梁在两端同时受到完全相同的集中质量横向撞击问题进行了理论上的研究 ,通过采用刚塑性的材料模型得到了其动力响应完全解。
2.
Shear effect of a free free beam subjected to impact by a projectle at the mid span was studied and the non dimensional criterion of the shear failure was presented.
着重研究了自由梁在中点受到质量块撞击后的剪切效应 ,给出了发生剪切失效的无量纲判据。
3.
An analysis is presented in this paper for predicting the initial deformation modes of a rigid plastic free free beam with uniform rectangular cross section impacted normally by a small size of flat nosed solid cylindrical missile at the middle of its span.
研究了均匀矩形截面刚塑性自由梁中部在小尺寸、平头、圆柱形刚性弹体撞击下的三种变形模式,即梁的刚体平动、单铰变形模式和三铰变形模式。
补充资料:必然王国与自由王国(见必然与自由)


必然王国与自由王国(见必然与自由)
realm of necessity and realm of freedom

  of口1 Iun Wongg口0 yU ZlyQU wangguo必然王国与自由王国(realmandrealm of freedom)necessity见必然与自由。
  
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