An analytical model for predicting the deflection of laminated basalt composite plates under dynamic loads

2014 ◽  
Vol 116 ◽  
pp. 273-285 ◽  
Author(s):  
Süleyman Baştürk ◽  
Haydar Uyanık ◽  
Zafer Kazancı
Keyword(s):  
Analytical Model ◽  
Composite Plates ◽  
Dynamic Loads

Analytical model of the stress–strain state of multilayer composite plates under the influence of different load types with asymmetrical boundary conditions

2016 ◽  
Vol 54 (12) ◽  
pp. 1535-1548
Author(s):  
Olga Bitkina ◽  
Jang-Ho Lee ◽  
Ki-Weon Kang ◽  
Elena Darlington
Keyword(s):  
Boundary Conditions ◽  
Analytical Model ◽  
Strain State ◽  
Linear Partial Differential Equation ◽  
Composite Plates ◽  
Generalized Function ◽  
Entire Body ◽  
Multilayer Composite ◽  
Stress Strain ◽  
Stress Strain State

Composite structure design experience has demonstrated that use of the finite element method during the first stage of the design process is unfounded and that analytical methods to determine the stress–strain state are needed for more accurate calculations. Therefore, an analytical model of the stress–strain state of multilayer composite plates under the influence of temperature, technological, and power loads with different boundary conditions around four boundaries of a rectangular plate was developed. This model enables the solution of more than 240 different boundary value problems with a combination of the following boundary conditions: fixed, moving, hinged, and free edge. In the derivation of this mathematical analytic model, the Kirchhoff hypothesis was applied to the entire body of the anisotropic medium for the interconnected deflection and bending in the plate plane. The resulting equation is an octic linear partial differential equation to express the generalized function of movements.

An Analytical Model for Spur Gear Dynamics

1997 ◽  
Author(s):  
Jao-Hwa Kuang ◽  
Ah-Der Lin
Keyword(s):  
Mathematical Model ◽  
Analytical Model ◽  
Analytical Solutions ◽  
Dynamic Contact ◽  
Spur Gear ◽  
Dynamic Loads ◽  
Gear Pair ◽  
Mesh Stiffness ◽  
Detailed Model ◽  
Gear Dynamics

Abstract A mathematical model for a spur gear pair with two-step mesh stiffness is proposed. Two constant values of mesh stiffness are used to approximate the complicated compliance alternation of contact tooth pairs between one and two during meshing. Analytical solutions of the dynamic loads are derived. The method has been employed to calculate the dynamic contact load, transmitted torque and the bearing forces. The results compared favorably with a more detailed model found in the literature.

The Effect of Wire Rope Mechanics on the Material Properties of Cord Composites: An Elasticity Approach

1994 ◽  
Vol 61 (1) ◽  
pp. 1-8 ◽  
Author(s):  
C. K. Shield ◽  
G. A. Costello
Keyword(s):  
Uniaxial Tension ◽  
Analytical Model ◽  
Material Properties ◽  
Pure Shear ◽  
Composite Plates ◽  
Good Deal ◽  
Wire Rope ◽  
Rubber Composite

An analytical model is presented for the behavior of cord reinforced rubber composite plates taking into account the extension-twisting coupling of the cord based on an equilibrium formulation. The effect of the cord mechanics on the unidirectional lamina properties is investigated for various modulus ratios and geometries. The equations of equilibrium are derived for the unidirectional plate. Solutions are found for the following plate problems, uniaxial tension along the cord direction, uniaxial tension perpendicular to the cord direction, and pure shear. These solutions are used to obtain average material properties and to investigate the influence of cord mechanics on the plate response. For very flexible synthetic rubbers, the behavior of the unidirectional lamina exhibits a good deal of extension twisting coupling, whereas for stiffer vulcanized rubbers, the rubber acts to restrain the cords from unwinding.

Dynamic Loads in the Three-Lobe Supercharger

1999 ◽  
Vol 121 (4) ◽  
pp. 602-605 ◽  
Author(s):  
G. C. Mimmi ◽  
P. E. Pennacchi
Keyword(s):  
Analytical Model ◽  
Dynamic Loads ◽  
Dynamic Transformation

In previous papers the authors have analyzed the functioning of the three lobe supercharger. This analysis was made possible by a complete analytical model of the rotors. The dynamic transformation of the chambers occupied by the fluid allows us to point out specific problems regarding trapped volumes and to design special devices to avoid these problems. As a result it is possible to simulate the performance of the compressor and to propose an analytical model in order to determine the dynamic loads on the rotors. The topic of this paper is the comparison between the performances achieved by helical and spur rotors, with particular attention to the loads, force and moment, acting on the rotors.

Analysis of Delaminated Composite Plates

2013 ◽  
Vol 686 ◽  
pp. 104-108
Author(s):  
Ali Mahieddine ◽  
Mohammed Ouali
Keyword(s):  
Finite Element ◽  
Analytical Model ◽  
Composite Beam ◽  
Composite Structures ◽  
Failure Modes ◽  
Laminated Composite ◽  
Composite Plates ◽  
Published Data ◽  
Shear Stresses ◽  
Buckling Behavior

A mathematical model for plates with partially delaminated layers is presented to investigate their behavior. In this formulation account is taken of lateral strains. The principal advantage of the element is that it allows the modeling of delamination anywhere in the structure. The region without delamination is modeled to carry constant peel and shear stresses; while the region with delamination is modeled by assuming that there is no peel and shear stress transfer between the top and bottom layers. Numerical results of the present model are presented and its performance is evaluated for static problems. Laminated beams and plates are often used as primary load-carrying structures. However, the mechanical properties of composite materials may degrade severely in the presence of damage. One of the common types of damage modes in laminated composites is delamination. The presence of delamination is one of the most prevalent life-limiting failure modes in laminated composite structures. Many researchers had been studying the effect of delamination. Wee and Boay [1] developed an analytical model to predict the critical load of a delaminated composite laminated beam. Lee et al. [2] investigated the buckling behavior of the beam plate with multiple delaminations under compression. Kapania and Wolfe [3] examined the buckling behavior of a beam plate with two delaminations of equal length. Wang et al. [4] improved the analytical solution by including the coupling between the flexural and axial vibrations of the delaminated sub-laminates. Lee et al. [5] studied a composite beam with arbitrary lateral and longitudinal multiple delamination. Finite-element methods have been developed using the layerwise theory by Kim et al. [6]. Tan and Tong [7] developed a dynamic analytical model for the identification of delamination embedded in a laminated composite beam. To investigate the effects of delamination of a plate layers, a finite-element model is developed. Both displacement continuity and force equilibrium conditions are imposed between the regions with and without delamination. The accuracy of the approach is verified by comparing results with previously published data.

scholarly journals A Synthesis Model for Forcing Action Arrangement in the System of Reducing Dynamic Loads of a Mobile Machine

2015 ◽  
Vol 20 (2) ◽  
pp. 437-443 ◽  
Author(s):  
H. Kaźmierczak ◽  
T. Pawłowski ◽  
K. Zembrowski
Keyword(s):  
Analytical Model ◽  
Dynamic Characteristics ◽  
Vibration Isolation ◽  
Dynamic Loads ◽  
Dynamic Susceptibility ◽  
Isolation System ◽  
Vibration Isolation System ◽  
Supporting Structure ◽  
System Vibration ◽  
Mobile Machine

Abstract An idea is presented for a method to lower excessive dynamic loads in the system of supporting structure, mechanical-hydraulic forcing system, vibration isolation system, protective unit. The dynamic characteristics of the system are determined by the method of dynamic susceptibility. An analytical model of the system was built (mobile machine to carry out protective treatments; project WDN-POIG.01.03.01-00-164/09).

Time-domain structural-acoustic analysis of composite plates subjected to moving dynamic loads

2019 ◽  
Vol 208 ◽  
pp. 574-584 ◽  
Author(s):  
Yegao Qu ◽  
Wenming Zhang ◽  
Zhike Peng ◽  
Guang Meng
Keyword(s):  
Time Domain ◽  
Acoustic Analysis ◽  
Composite Plates ◽  
Dynamic Loads
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