Quasi-periodic excitation in a delaminated composite beam

Pölöskei, Tamás; Szekrényes, András

doi:10.1016/j.compstruct.2016.09.093

Cited by 15 publications

(7 citation statements)

References 36 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As a first step our FE model is validated with a model using higher order plate theory derived by Radu and Chattopadhyay in [31]. For comparison reasons the results determined using Euler-Bernoulli beam theory found in [49] are also given in Table 6. These natural frequencies and critical forces correspond to a thin beam with a single through width delamination found in the symmetry plane.…”

Section: Resultsmentioning

confidence: 99%

“…Substituting (49) and (50) into (48) and applying trigonometric identities we can determine the matrix equation corresponding to the solution of the harmonic balance method. These equations due to their sizes are presented in detail in the Appendix; however their general form is shown here:…”

Section: Equation Of Motion the Equation Of Motion (Eom)mentioning

confidence: 99%

“…where the system matrices S and S 2 contain combinations of the structural matrices and the system coefficient vectors c and c 2 contain the coefficients of the trigonometric functions found in (49) and (50):…”

Section: Equation Of Motion the Equation Of Motion (Eom)mentioning

confidence: 99%

See 2 more Smart Citations

Dynamic Stability of a Structurally Damped Delaminated Beam Using Higher Order Theory

Pölöskei

Szekrényes

2018

Mathematical Problems in Engineering

Self Cite

View full text Add to dashboard Cite

The static and dynamic stability of the composite beam with a single delamination are investigated using the Timoshenko beam theory. The mechanical model is discretized using the finite element method and the equation of motion is obtained using Hamilton’s principle. The coefficients of the mass and stiffness matrix for the damping matrix are determined using experimental modal analysis. The effect of harmonic excitation on the dynamic stability of a single delaminated composite beam is investigated using Bolotin’s harmonic balance method. The stability boundaries of the damped and undamped system are compared for different static load values and delamination lengths on the excitation frequency-excitation force amplitude parameter field.

show abstract

Section: Resultsmentioning

confidence: 99%

Section: Equation Of Motion the Equation Of Motion (Eom)mentioning

confidence: 99%

See 1 more Smart Citation

Dynamic Stability of a Structurally Damped Delaminated Beam Using Higher Order Theory

Pölöskei

Szekrényes

2018

Mathematical Problems in Engineering

Self Cite

View full text Add to dashboard Cite

show abstract

“…As the composite materials play important role in the industrial applications [11], the strong adhesion between the laminated layers is essential and must remain reliable even at high strains and high stresses [15]. Presence and propagation of a delamination in lightweight composite materials [35,38] can significantly decrease the load bearing capability of the structure [7,26,28], modify the dynamic properties [6,20,27,39,40], and furthermore, they can easily lead to sudden and catastrophic failure of the brittle mechanical system. Thus, the description [22,36] and the avoidance [10,59] of an interlaminar failure, which may take place because of low-velocity impact [5,24], blast loading [32,37], manufacturing defects [16][17][18] and free edge effects [13], are inevitable from engineering point of view.…”

Section: Introductionmentioning

confidence: 99%

Fracture and mode mixity analysis of shear deformable composite beams

Kiss

Szekrényes

2019

Arch Appl Mech

Self Cite

View full text Add to dashboard Cite

To analyse delaminated composite beams with high accuracy under mixed-mode I/II fracture conditions first-, second-, third-and Reddy's third-order shear deformable theories are discussed in this paper. The developed models are based on the concept of two equivalent single layers and the system of exact kinematic conditions. To deduce the equilibrium equations of the linearly elastic system, the principle of virtual work is utilised. As an example, a built-in configuration with different delamination position and external loads are investigated. The mechanical fields at the delamination tip are provided and compared to finite element results. To carry out the fracture mechanical investigation, the J -integral with zero-area path is introduced. Moreover, by taking the advantage of the J -integral, a partitioning method is proposed to determine the ratio of mode-I and mode-II in-plane fracture modes. Finally, in terms of the mode mixity, the results of the presented evaluation techniques are compared to numerical solutions and previously published models in the literature.Keywords Delamination · Energy release rate · Mixed-mode I/II fracture · J -integral · Higher-order beam theories IntroductionAs the composite materials play important role in the industrial applications [11], the strong adhesion between the laminated layers is essential and must remain reliable even at high strains and high stresses [15]. Presence and propagation of a delamination in lightweight composite materials [35,38] can significantly decrease the load bearing capability of the structure [7,26,28], modify the dynamic properties [6,20,27,39,40], and furthermore, they can easily lead to sudden and catastrophic failure of the brittle mechanical system. Thus, the description [22,36] and the avoidance [10,59] of an interlaminar failure, which may take place because of low-velocity impact [5,24], blast loading [32,37], manufacturing defects [16][17][18] and free edge effects [13], are inevitable from engineering point of view.The application of the linear elastic fracture mechanics is one possibility to characterise the interlaminar fracture resistance of conventional high performance composites with inherent brittleness [8,9]. The critical value of the energy release rate G c , which can be considered as a material property, is suitable to characterise the strength of an interface layer between two elastic plies [19]. Like any other material parameters, mechanical tests must be carried out to be determined. In the case of fracture mechanical investigation, as linear elastic fracture mechanics works only if the location, size andshape of the crack are known, the experiments must be B. Kiss (B) · A. Szekrényes

show abstract

“…Similar researches using linear models to study the dynamic behaviour of sandwich plates that have undergone a postimpact damage or containing a multidebonding have been carried out in [57][58][59] and [60][61][62], respectively. A linear model has been also adopted to examine a dynamic stability of a delaminated beam under harmonic longitudinal loading in [63]. An experimental study on the modal dynamics of a delaminated plate has been done in [64].…”

Section: Introductionmentioning

confidence: 99%

Linear and Nonlinear Dynamic Analyses of Sandwich Panels with Face Sheet‐to‐Core Debonding

Burlayenko

2018

Shock and Vibration

View full text Add to dashboard Cite

A survey of recent developments in the dynamic analysis of sandwich panels with face sheet-to-core debonding is presented. The finite element method within the ABAQUS6 code is utilized. The emphasis is directed to the procedures used to elaborate linear and nonlinear models and to predict dynamic response of the sandwich panels. Recently developed models are presented, which can be applied for structural health monitoring algorithms of real-scale sandwich panels. First, various popular theories of intact sandwich panels are briefly mentioned and a model is proposed to effectively analyse the modal dynamics of debonded and damaged (due to impact) sandwich panels. The influences of debonding size, form, and location and number of such damage incidents on the modal characteristics of sandwich panels are shown. For nonlinear analysis, models based on implicit and explicit time integration schemes are presented and dynamic responses gained with those models are discussed. Finally, questions related to debonding progression at the face sheet-core interface when dynamic loading continues with time are briefly highlighted.

show abstract

Quasi-periodic excitation in a delaminated composite beam

Cited by 15 publications

References 36 publications

Dynamic Stability of a Structurally Damped Delaminated Beam Using Higher Order Theory

Dynamic Stability of a Structurally Damped Delaminated Beam Using Higher Order Theory

Fracture and mode mixity analysis of shear deformable composite beams

Linear and Nonlinear Dynamic Analyses of Sandwich Panels with Face Sheet‐to‐Core Debonding

Contact Info

Product

Resources

About