Point-shaped joints of complex assemblies and components are loaded mainly by shear, whereas the actual load in a joint depends on surrounding sheet geometry number layout joints. Within scope this paper, interaction between its is investigated overlapped single clinched specimens. The upper near changed thickening inserting corrugations rectangular cavities. investigations show that causes dif...

In this paper, we construct multimodal spectral geometry by finding a pair of closest commuting operators (CCO) to a given pair of Laplacians. The CCOs are jointly diagonalizable and hence have the same eigenbasis. We show that our problem is equivalent to joint diagonalization, however, unlike joint diagonalization, allows to explicitly preserve the properties of Laplacians. Our construction n...

In this study, analytical models considering different material and geometry for ‎both single and double-lap bolted joints were reviewed for better understand how to ‎select the proper model for a particular application. The survey indicades that the ‎analytic models selected for the adhesively single or double bolted lap joints, as well ‎as T, scarf, and stepped joints, with linear material pr...

To make artificial knee joints have lower long-term wear rate, a new method for reformed design of sagittal femoral condylar geometry based on TRIZ (Theory of Inventive Problem Solving) was proposed. Firstly, according to the development history of sagittal femoral condylar geometry and evolution theory of TRIZ, future state of the evolution line of femoral condylar geometry in sagittal plane w...

Major improvements in the teaching and learning of geometry will only come, argues a recent report from the Royal Society and Joint Mathematical Council, through the development of a completely new pedagogy for geometry. This report examines existing models of pedagogy for geometry and considers what research might have to contribute to the development of new approaches. New pedagogic approache...

I study tropical geometry, in particular tropical curves, moduli, and determinantal varieties. I have written five papers in tropical geometry: three on tropical curves and their moduli [Cha11a, Cha11b, CMV11], and two on tropical determinantal varieties [CC09, CJR09], joint with D. Cartwright, A. N. Jensen, and E. Rubei. After a brief introduction to tropical geometry, I will propose four main...

Comeld” is a novel technology which can be applied in connecting composites and metals by manufacture of an array of metal pins on the metal part and layup the composite layers on the pins to make an adhesive and mechanical Joint at the same time. The aim of this paper is an experimental, numerical and analytical investigation on strength of comeld joint system and also to calculate the stiffne...

The aerospace, automotive and marine industries have witnessed a rapid increase of using adhesive bonded joints due to their advantages in joining dissimilar and/or new engineering materials. Joint strength is the key property evaluating capability joint. In this paper, developments black-box grey-box machine learning (ML) models are presented allow accurate predictions failure load single lap ...