建立了具有有限个质量自由度、运动方向平行的弹性系统固有振动频谱的附加目标约束的计算格式

L. Lyakhovich, P. Akimov
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引用次数: 0

摘要

对于一些具有有限数量的质量自由度的弹性系统,其中质量运动方向是平行的并且位于同一平面(例如,杆),已经开发出特殊的方法来创建额外的约束,每个约束的引入都有目的地只增加一个固有频率的值,并且不改变任何自然模态。在这个问题中,形成附加刚度系数矩阵的方法表征了这种目标约束,也可以应用于解决具有有限数量的质量自由度的弹性系统的类似问题,其中质量运动方向是平行的,但不位于同一平面(例如,板)。同时,对于这样的系统,只制定了对附加目标约束的设计方案的要求,而没有制定其创建方法。这篇独特的论文提出了一种方法,允许研究人员为此类系统创建额外目标约束的计算方案。计算方案的一种变体,由一个活动度的杆系统表示,被考虑。揭示了这类目标约束的一些特殊性质。在形成计算方案时,最小化创建约束的材料消耗,并考虑设计约束。特别注意的是修改的计算方案的约束,当,在其形成过程中,杆似乎“通过”通过原来的系统。
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FORMATION OF COMPUTATIONAL SCHEMES OF ADDITIONAL TARGETED CONSTRAINTS THAT REGULATE THE FREQUENCY SPECTRUM OF NATURAL OSCILLATIONS OF ELASTIC SYSTEMS WITH A FINITE NUMBER OF DEGREES OF MASS FREEDOM, THE DIRECTIONS OF MOVEMENT OF WHICH ARE PARALLEL, BUT D
For some elastic systems with a finite number of degrees of freedom of masses, in which the directions of mass movement are parallel and lie in the same plane (for example, rods), special methods have been developed for creating additional constraints, the introduction of each of which purposefully increases the value of only one natural frequency and does not change any from the natural modes. The method of forming a matrix of additional stiffness coefficients that characterize such targeted constraint in this problem can also be applied when solving a similar problem for elastic systems with a finite number of degrees of mass freedom, in which the directions of mass movement are parallel, but do not lie in the same plane (for example, plates). At the same time, for such systems, only the requirements for the design schemes of additional targeted constraints are formulated, and not the methods for their creation. The distinctive paper proposes an approach that allows researcher to create computational schemes for additional targeted constraints for such systems. A variant of the computational scheme, represented by a rod system with one degree of activity, is considered. Some special properties of such targeted constraints are revealed. When forming the computational scheme, the material consumption for creating a constraint is minimized, and design restrictions are taken into account. Particular attention is paid to the modification of the computational scheme of the constraint, when, during its formation, rods appear that “pass” through the original system.
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来源期刊
CiteScore
0.80
自引率
0.00%
发文量
43
审稿时长
4 weeks
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