Mathematical Modeling of the Thermal State of the Spatial Layered Rod Structures

• Main Author: I. V. Stankevich
• Format: Article
• Language: Russian
• Published: MGTU im. N.È. Baumana 2016-01-01
• Series: Matematika i Matematičeskoe Modelirovanie
• Subjects: laminated rod structures; non-stationary temperature task; non-linear temperature task; finite element technology; complex of application programs
• Online Access: http://mathm.elpub.ru/jour/article/view/8

<p>The paper considers the features of finite element technology to determine the temperature state of layered rod structures with complex spatial design. The area of research, on the one hand, is defined by the fact that the rod structures (frames) are so-called “skeletal framework” of aviation, machinery, shipbuilding products and structures for industrial construction and an issue of implementation of most research and industrial projects, strongly promising from the practical point of view, depends largely on the level of reliability, bearing capacity, and general performance of its “skeletal framework”. On the other hand, the laminates have a wide range and unique combination of valuable properties such as high strength, corrosion resistance, electrical conductivity, thermal conductivity, heat resistance, abrasion resistance and many others. The use of layered metal compositions allows to increase the reliability and durability of a large range of parts and equipment and to reduce significantly the consumption of high-alloyed steels and nonferrous metals. A temperature field is one of the main factors to determine the expected performance of multilayer rod structures, operation conditions of which imply intensive thermal loading.</p><p>The paper shows how within a single finite element model that approximates the spatial design of steel structures consisting of multilayer curvilinear rods, at the stage of discretization in space to take into account the thermo-physical properties of all materials, forming layer of each timber. Using the technique described in the paper has been created a complex of application programs that allows us to solve a wide class of scientific and applied problems, and explore the impact of various structural, technological and operational factors on the temperature state of multilayer rod structures. The paper presents research results of the multilayer rod design. It shows that the high conductivity layer available in the structure provides in all the smaller temperature gradients and a more moderate absolute temperature level.</p>