Exact dynamic stiffness matrix for flexural vibration of three-layered sandwich beams

Howson, William Paul; Zare, Abdolreza

doi:10.1016/j.jsv.2004.03.045

Cited by 71 publications

(51 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The general non-linear strain displacement field associated with the displacement fields are derived and presented in Eqs. (8) and (9).…”

Section: ( )mentioning

confidence: 99%

“…The results presented in the Table 3, the outcomes shown that there is a good agreement between the results. The effectiveness of the present finite element model is also further examined by comparing the natural frequencies under the condition of clamped free at both ends with those derived by Howson and Zare [9]. The material properties used for simulation l = 0.9144 m, width, b = 25.4 mm; core thickness, hc = 12.7 mm; skin thickness, ht = hb = 0.4572 mm, Et = Eb = 68.9 GPa, Gc = 82.68 MPa, density of skin, ρt = ρb = 2680 kg/m3 and ρc = 328 kg/m3.…”

Section: Analytical Validationmentioning

confidence: 99%

“…Howson and Zare [9] and Manalo et al [10] were made an attempt to derive an effective stiffness matrix for sandwich beam with unequal faceplates were tested for flexural motion. The governing differential equation was developed from the closed form solution.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Vibration Analysis of Carbon Fiber Reinforced Laminated Composite Skin with Glass Honeycomb Sandwich Beam Using HSDT

Subramani

Arumugam

Ramamoorthy

2017

Period. Polytech. Mech. Eng.

View full text Add to dashboard Cite

In this paper, the vibration analysis of uniform laminated composite sandwich beam with a viscoelastic core was studied. The governing equation of motion of the laminated composite sandwich beam has been derived based on higher order shear deformation theory (HSDT) in finite element model (FEM IntroductionNowadays the demand for the sandwich structure is getting increased because of its high stiffness to the low weight ratio. It is also paved the attention of the researchers and scientist towards the sandwich structures. A Sandwich structure finds its place in wide range of applications because of its high stiffness and flexural rigidity especially in marine, aerospace and astronautics. Ibrahim Ozkol and AytacArikoglu [1] were made an investigation on vibration analysis of the uniform laminated composite sandwich beams with viscoelastic core using differential transform method. The governing equation of motion of sandwich beamwas formulated by Hamilton's principle and it was solved by differential transform method (DTM), Eigen value analysis method was used to generate and evaluate frequencies. Banerjee et al. [3] investigated the vibration characteristics of the viscoelastic material based asymmetric sandwich beam by using the dynamic stiffness model which was developed from the Timoshenko beam theory. Manoharan et al. [4] presented the finite element formulation of the magnetorheological (MR) fluid based sandwich beam. The governing equation of motion sandwich beam was formulated using finite element method. In this study it was concluded that the natural frequencies increased by increasing the intensity of the magnetic field irrespective to the boundary conditions. Allahverdizadeh et al. [5] was studied the dynamic behaviour of adaptive sandwich beams, where the middle layer as electro-rheological fluid (ERF) and constraining layers were fabricated by functionally graded materials (FGM). This study shows that the resonant frequencies and the amplitude of peak values have been decreased by increasing the thickness FGM at constant electric filed. From the results it was indicated that at a definite applied electric field, the Clamped-Clamped beam showed the higher resonant frequencies and the cantilever beam showed the least value among all end conditions. Xu and Qiu [6] studied the free vibration analysis and optimization method of composite lattice truss core sandwich beams. The partial differential governing equation of motion was developed by adopting the Hamilton principle which was based on Thimosenko and bernoullis beam theory and then the natural frequencies of the

show abstract

“…The general non-linear strain displacement field associated with the displacement fields are derived and presented in Eqs. (8) and (9).…”

Section: ( )mentioning

confidence: 99%

Section: Analytical Validationmentioning

confidence: 99%

See 1 more Smart Citation

Vibration Analysis of Carbon Fiber Reinforced Laminated Composite Skin with Glass Honeycomb Sandwich Beam Using HSDT

Subramani

Arumugam

Ramamoorthy

2017

Period. Polytech. Mech. Eng.

View full text Add to dashboard Cite

show abstract

“…Inercja podłużnych drgań może zostać pominięta, natomiast inercja poprzeczna jest dominująca [7,9]. Na poniższych ilustracjach zaprezentowano przyjęty dodatni zwrot sił i przemieszczenia dla wyciętego elementu belki.…”

Section: Rozwiązanie Ogólneunclassified

Stochastic vibrations of sandwich beam traversed by random moving load

Misiurek

Śniady

2014

JCEEA

View full text Add to dashboard Cite

“…The Dynamic Stiffness Method (DSM), which employs symbolic computation to combine all the governing differential equations of motion into a single ordinary differential equation, has also been well established. his co-workers (1995-2007) and Howson and Zare (2005) have published numerous papers on DSM illustrating its successful application to numerous homogeneous and sandwich/composite beam configurations, with a number of papers focusing on elastic-core sandwich beams. It is worth noting that in all the above-mentioned sandwich element models, the beam motion is assumed to exhibit coupled bending-axial motion only, with no torsional or out-of-plane motion.…”

Section: Introductionmentioning

confidence: 99%