scholarly journals Study of longitudinal oscillations of a five-storey building on the basis of plate continuum model

2019 ◽  
Vol 97 ◽  
pp. 04065 ◽  
Author(s):  
Javlon Yarashov ◽  
Makhamatali Usarov ◽  
Gayratjon Ayubov

Continuum plate model in the form of a cantilever anisotropic plate developed in the framework of the bimoment theory of plates describing seismic oscillations of buildings is proposed in this paper as a dynamic model of a building. Formulas for the reduced moduli of elasticity, shear and density of the plate model of a building are given. Longitudinal oscillations of a building are studied using the continuum plate and box-like models of the building with Finite Element Model. Numerical results are obtained in the form of graphs, followed by their analysis.

2020 ◽  
Vol 329 ◽  
pp. 04011
Author(s):  
M. K. Usarov ◽  
G. T. Ayubov ◽  
D. M. Usarov

Continuum plate model in the form of a cantilever anisotropic plate developed in the framework of the bimoment theory of plates describing seismic oscillations of buildings is proposed in this paper as a dynamic model of a building. Formulas for the reduced moduli of elasticity, shear and density of the plate model of a building are given. Longitudinal oscillations of a building are studied using the continuum plate and box-like models of the building with Finite Element Model. Numerical results are obtained in the form of graphs, followed by their analysis.


2018 ◽  
Vol 53 (9) ◽  
pp. 1197-1213 ◽  
Author(s):  
Bazle Z (Gama) Haque ◽  
Molla A Ali ◽  
Raja H Ganesh ◽  
Sandeep Tamrakar ◽  
Chian F Yen ◽  
...  

Punch shear in unidirectional composites is induced by transverse shear loading that progressively perforates the laminate within a narrow shear annulus. At lower micromechanical length scales, punch shear loading creates unique micromechanical damage mechanisms dominated by transverse fiber shear failure, fiber–matrix interphase debonding and large inelastic deformation and cracking of the matrix. A new punch shear experimental method has been developed to test unidirectional S glass/DER353 epoxy composite ribbons at sub-millimeter length scale. The experimental data consist of a statistical measurement of the continuum response (load-deformation and punch shear strength) and the characterization of micromechanical damage modes. A simplified 2D micromechanical finite element model incorporating Weibull fiber strength distribution has been developed and correlated with the experimental data. The 2D micromechanical finite element model can simulate the punch shear failure of the ribbon incorporating mixed mode fiber fracture, and fiber–matrix debonding mechanisms using zero thickness cohesive elements. Results from stochastic simulations of punch shear experiments show that an equivalent 2D micromechanical finite element model can predict the micromechanical damage mechanisms and the statistical distribution of punch shear strength of the continuum with favorable correlation with the experiments. This paper presents a combined experimental and computational approach in simulating the stochastic non-linear progressive punch shear behavior of unidirectional composites for the first time in the literature.


2011 ◽  
Vol 199-200 ◽  
pp. 1273-1280
Author(s):  
Hong Wei Guo ◽  
Rong Qiang Liu ◽  
Zong Quan Deng

The dynamic equivalent continuum model of beamlike space deployable lattice truss which is repetition of the basic truss bay is established based on the energy equivalence. The finite element model of the lattice truss is also developed. Free vibration frequencies and mode shapes are calculated and simulated based on equivalent continuum model and discrete finite element model. The analytical solutions calculated by equivalent continuum model match well with the finite element model simulation results. A prototype of deployable lattice truss consist of 20 truss bays is manufactured. The dynamic response of lattice truss with different truss bays are tested by dynamic vibration experiment, and natural frequencies of lattice truss with different length are obtained from acceleration response curves. The experiment results are compared with simulation results which verifies that the correctness of finite element model, which also validate the effectiveness of equivalent continuum model indirectly.


2006 ◽  
Vol 306-308 ◽  
pp. 835-840 ◽  
Author(s):  
Osamu Kuwazuru ◽  
Nobuhiro Yoshikawa

The anisotropy of the tensile strength of plain-weave fabric is numerically evaluated by the finite element simulations. The plain-weave fabrics show complicated deformation behavior that is quite different from that of the continuum. The mechanics of woven fabric is not sophisticated yet enough to evaluate the strength and fracture mechanism in arbitrary stress conditions. The opacity of the tensile strength significantly diminishes the material reliability for the advanced use of fabrics. This study addresses the ideal tensile strength in arbitrary directions by using the pseudo-continuum model, which we have proposed to predict the deformation behavior and fiber stresses of the plain-weave fabrics. In this study, the numerical simulations of uniaxial extension in various directions are carried out by one finite element subjected to ideally uniform deformation, and we predict the breaking loads and elongations corresponding to the ultimate strength of the fiber.


2009 ◽  
Vol 16-19 ◽  
pp. 851-855
Author(s):  
Chao Feng Li ◽  
Wei Sun ◽  
Chen Yi Liu ◽  
Bang Chun Wen

The nonlinear dynamic behavior of a rotor-bearing system is analyzed with its finite element model based on the analysis of the discrete model, with considering some other important influencing factors such as, material damping, gyroscopic effect, inertia distribution, shear effect and so on, which make the description of the system more embodiment avoiding the casualness of selection with system parameters. With the comparison of the results on the bifurcation map and three-dimensional spectrum, significant difference is appeared with the addition of the considered factors. It is suggested that the substitution of continuum model for the discrete ones can get more accurate and abundant results. Furthermore, these results can provide more accurate verification and reference for the experiment and nonlinear dynamic design of the complex rotor system.


Author(s):  
Michael F. Macri

In this paper, we assess the ability of three interpolation functions in a discretized continuum model to capture and accurately represent the solution. In particular we examine the differences between the partition of unity, moving least squares and finite element methods in the continuum part of the multiscale model.


2018 ◽  
Vol 245 ◽  
pp. 04015
Author(s):  
Aleksandr Petrakov ◽  
Ekateryna Bryzhata ◽  
Nikolay Maslo

The article is devoted to the study of the strain-stress distribution of the frame elements of a multi-storey building with the correction of the tilt using a device for control the vertical position. The construction of the device for adjusting the geometric position of the building, which undergoes deformation of the ground base, is considered. Quoted results of experimental researches of the developed device for correction the tilt of a building. The influence of the loading level, sand moisture, the height of the intersection of the slots and the sand composition on the efficiency of the tilt correction device is analyzed.A finite-element model of a multi-storey building with constructive measures of protection against the influence of above permitted standard tilts, taking into account the interaction of the structure with the deformable ground base and the construction of foundations with variable dimensions are developed.The schemes for the multi - stage correction of the tilt of the finite - element model of the building are investigated.


2017 ◽  
Vol 63 (240) ◽  
pp. 691-702 ◽  
Author(s):  
DOUGLAS I. BENN ◽  
JAN ÅSTRÖM ◽  
THOMAS ZWINGER ◽  
JOE TODD ◽  
FAEZEH M. NICK ◽  
...  

ABSTRACTThe simple calving laws currently used in ice-sheet models do not adequately reflect the complexity and diversity of calving processes. To be effective, calving laws must be grounded in a sound understanding of how calving actually works. Here, we develop a new strategy for formulating calving laws, using (a) the Helsinki Discrete Element Model (HiDEM) to explicitly model fracture and calving processes, and (b) the continuum model Elmer/Ice to identify critical stress states associated with HiDEM calving events. A range of observed calving processes emerges spontaneously from HiDEM in response to variations in ice-front buoyancy and the size of subaqueous undercuts. Calving driven by buoyancy and melt under-cutting is under-predicted by existing calving laws, but we show that the location and magnitude of HiDEM calving events can be predicted in Elmer/Ice from characteristic stress patterns. Our results open the way to developing calving laws that properly reflect the diversity of calving processes, and provide a framework for a unified theory of the calving process continuum.


Author(s):  
Leslie M. Phinney ◽  
Justin R. Serrano ◽  
Edward S. Piekos ◽  
John R. Torczynski ◽  
Michael A. Gallis ◽  
...  

This paper reports on experimental and computational investigations into the thermal performance of microelectro-mechanical systems (MEMS) as a function of the pressure of the surrounding gas. High spatial resolution Raman thermometry was used to measure the temperature profiles on electrically heated, polycrystalline silicon bridges that are nominally 10 μm wide, 2.25 μm thick, and either 200 or 400 μm long in nitrogen atmospheres with pressures ranging from 0.05 to 625 Torr. Finite element modeling of the thermal behavior of the MEMS bridges is performed and compared to the experimental results. Noncontinuum gas effects are incorporated into the continuum finite element model by imposing temperature discontinuities at gas-solid interfaces that are determined from noncontinuum simulations. The results indicate that gas-phase heat transfer is significant for devices of this size at ambient pressures but becomes minimal as the pressure is reduced below 5 Torr. The model and experimental results are in qualitative agreement, and better quantitative agreement requires increased accuracy in the geometrical and material property values.


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