Nonlinear Analysis of Statically Indeterminate Wooden Structures and Optimization of Cross Section Dimensions of Dome Ribs

Abstract

The analysis of the behaviour of natural structures of laminated wood domes and the numerous preliminary calculations have shown the possibility of saving materials by reducing the height of cross sections of meridional ribs. This is especially effective when you include in design of skins, performing a role of building shell, the collaboration with frame elements (annular and longitudinal ribs). Multiple static indeterminacy of such structure allows its non-linear work and the redistribution of forces under nonuniform loads. At the same ime, the skin carries a significant part of the forces appearing in the shell and the ribs are underloaded. The tress-strain states of all elements are investigated. For the frame analysis the calculation is performed by the method of integral module that allows controlling strength resistance of a structure at any moment of its operation. The design recommendations for section dimensions of a shell are developed.

Calculation of thin-walled axisymmetrically loaded structures of the AIC taking into account FEM-based physical nonlinearity

“…The following data were used: internal pressure q=0.7 MPa; Poisson's ratioµ = 0.32; elastic modulus Е=7·10 5 MPa; radius of a cylindrical shell Rc=0.9 m; cylinder length Lc=0.8 m; shell thickness t=0.01m; cone lengths Llк=1.1 m. and Luc=0.2 m; angle α=45 0 , angle β=30 0 . The left edge of the structure has a hinged bearing (Fig.…”

“…The theory of thin shells is widely used [1][2][3][4][5][6]. Due to difficulties in obtaining analytical solutions based on the theory of shells for the designed thin-walled elements, numerical methods have become widespread [7][8][9][10].…”

Nonlinear Strength Calculation of Shell Structure of Arbitrary Shape Based on FEM

“…Shell structures of complex configuration are widely used in almost all sectors of the economy, technology, medicine, space, etc. One of the fundamental tasks in the calculation of such structures is to take into account the physical nonlinearity [4][5][6][7][8][9][10], which will expand the range of applications in the design of new construction projects through more effective use of the strength properties of the used materials. This article is devoted to the solution of such a problem.…”

Stability analysis of wooden arches with account for nonlinear creep

“…Впервые вопросы совместного учета мгновенных упругопластических свойств древесины и ее ползучести стал исследовать К. П. Пятикрестовский. Указанные свойства он объединил на основе метода длительного модуля деформации [4][5][6][7]. В данном методе уравнение ползучести содержит время в явном виде, что существенно ограничивает его использование в случае сложных режимов нагружения и переменных нагрузок.…”