Erratum: “Contact Stresses in Cables due to Tension and Torsion” [ASME Journal of Applied Mechanics, 1997, 64(December), pp. 935–939]

Recently, a problem, whose solution was well known in exact form, has been analyzed by Liu (Scattering of Water Waves by a Pair of Semi-Infinite Barriers, ASME Journal of Applied Mechanics, Vol. 42, 1975, p. 777), by the method of matched asymptotic expansions. From the known exact solution a simple expression is obtained for the transmission coefficient. The exact expression for the transmission coefficient when expanded for low frequency incident waves differs from Liu’s result, and therefore casts doubt on Liu’s analysis and physical conclusions.

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Journal of Advanced Research in Applied Mechanics and Computational Fluid Dynamics

10.24321/2349.7661 ◽

2020 ◽

Keyword(s):

Fluid Dynamics ◽

Computational Fluid Dynamics ◽

Applied Mechanics

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ON THE INTERACTION OF A VISCOELASTIC CYLINDRICAL PIPE WITH INNER UNIFORM COATING AND INSERTS WITH A COMPLEX PROFILE

PROBLEMS OF APPLIED MECHANICS ◽

10.30987/conferencearticle_5fd1ed03c43727.62383321 ◽

2020 ◽

Author(s):

Kirill Kazakov

Keyword(s):

Complex Shape ◽

High Accuracy ◽

Contact Stresses ◽

Basis Functions ◽

Complex Profile ◽

Cylindrical Pipe ◽

Interference Fit ◽

Uniform Coating ◽

Special Basis ◽

Insert Region

This work is devoted to the formulation and construction of an analytical solution to the problem of contact between a cylindrical viscoelastic aging pipe with an internal thin coating and an insert having a complex shape placed inside the pipe with an interference fit. In practice, the presence of such coatings is required, for example, to protect the main structure from aggressive external or internal environments, for its electrical insulation, etc. The manufacturing process of the inner coating determines its possible heterogeneity (dependence of properties on coordinates). An insert placed inside a pipe can have a complex profile that has a rapidly changing function. Taking these features into account is important when analyzing the stress-strain state of pipes with an internal coating. Using an approach based on the use of special basis functions and the type of solution, a representation for the contact stresses in the pipe in the region of the rigid insert is obtained. This approach makes it possible to distinguish functions that describe the properties of the inner coating and the shape of the outer profile of the insert in the form of separate terms and factors in the expression for the contact stresses in the insert region. Therefore, in order to achieve high accuracy when carrying out calculations, it is sufficient to restrict ourselves to a relatively small number of terms

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Journal of Applied Mechanics and Technical Physics

10.1134/10808.1573-8620 ◽

2013 ◽

Keyword(s):

Applied Mechanics ◽

Technical Physics

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Design and manufacture of the novel drum worm pair

Science Progress ◽

10.1177/0036850420981220 ◽

2020 ◽

Vol 103 (4) ◽

pp. 003685042098122

Author(s):

Jingzi Zhang ◽

Jin’ge Wang ◽

Kai Wang

Keyword(s):

Contact Stresses ◽

Primary Objective ◽

Structure Design ◽

Worm Gear ◽

The Novel ◽

Bending Stress ◽

Manufacturing Method ◽

Design And Manufacture ◽

Maximum Contact ◽

Worm Drive

Although a significant amount of research on robot joint reducer was conducted, there are few systematic investigations on a novel joint reducer adopting inner worm-gear plane enveloping drum worm drive. To satisfy the development of modular robot joint, the primary objective of this paper was to systematically investigate the drum worm drive adopted in the novel joint reducer with integrated structure of drive, transmission, and support in the following aspects: meshing theory, design, analysis, and manufacture. According to the gear meshing theory, mechanical design method, classical mechanics, finite element method, and machining principle of virtual center distance, the systematic investigations around the drum worm pair applied in the novel joint reducer were conducted including the macro and micro meshing theory, structure design, mechanical and contact properties analyses, and manufacturing method. The novel joint reducer’s integrated structure was designed, and the drum worm pair’s mechanical and contact properties analyses were conducted, which showed: (1) the worm’s bending stress and deflection, worm-gear teeth’s shear stress and bending stress as well as the maximum contact stresses were all below their corresponding allowable values; (2) the maximum contact stresses appeared at the engage-in position of the worm pair opposing to the engaging-out position where the largest contact areas appeared. Then the manufacturing of drum worm’s spiral tooth was conducted via the modified 4-axis linkage CNC grinder according to the conjugate motion. Finally the novel joint reducer’s industrial prototype was assembled. The novel joint reducer with integrated structure of drive, transmission and support was designed and manufactured for the first time. The flowchart of design and manufacture of the reducer’s drum worm pair in this process was formulated, which provides a new insight on the research of joint reducers as well as other fields.

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