An Exact Elastodynamic Solution to Vibration Problems of a Composite Structure in the Plane Stress State

Karczmarzyk, S.

doi:10.1006/jsvi.1996.0469

Cited by 7 publications

(19 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is due to well known transformation rules of j parameter or the Poisson ratio [18,19]. For the sake of simplicity and convenience of making comparisons the plane stress version of the model was used in this paper to investigate sandwich beam loaded by the uniformly distributed pressure q.…”

Section: Methods and Tools Of The Analysismentioning

confidence: 99%

Numerical and Experimental Analysis of the Influence of Edge Conditions on the Deflection of a Clamped-Clamped Asymmetric Sandwich Strip

Karczmarzyk

Meyer-Piening

Caviezel

2003

Jnl of Sandwich Structures & Materials

Self Cite

View full text Add to dashboard Cite

Influence of different edge boundary conditions for the core and for the faces on deflections of the asymmetric sandwich strip and beam, with ends enabling carrying the bending moment are investigated in the paper. Two kinds of asymmetry of the clamped-clamped (C-C) sandwich structure are taken into account namely, asymmetry of faces and asymmetry of fastening of the faces to edge inserts. Numerical results which are presented to demonstrate the influence of the core conditions have been obtained according to a new analytical 2D model and by FEM. In order to make the analysis more valuable some experimental results have been compared. Influence of different edge conditions for the core, edge in-plane displacements of faces as well as asymmetry of faces and their fastening to inserts on the strip and beam deflection is examined. The usefulness of the new 2D model for validation of the FEM models is shown. All considerations and results refer to the sandwich structures composed of isotropic layers.

show abstract

Section: Methods and Tools Of The Analysismentioning

confidence: 99%

Numerical and Experimental Analysis of the Influence of Edge Conditions on the Deflection of a Clamped-Clamped Asymmetric Sandwich Strip

Karczmarzyk

Meyer-Piening

Caviezel

2003

Jnl of Sandwich Structures & Materials

Self Cite

View full text Add to dashboard Cite

show abstract

“…This model is a subsequent result of investigations of sandwich structures by the present author within the local theory of linear elastodynamics. Several vibrational models for the unidirectional, both cantilever [16] and clampedclamped (C-C) [17], sandwich structures have been elaborated within the approach. However, the former models have been obtained for some specific, realistic but simplified, edge boundary conditions, referring only to the faces of the structures.…”

Section: New 2d Local Vibrational Modelmentioning

confidence: 99%

“…The former models were obtained without expanding the displacement and stress fields (within the structures) into series. All through-the-thickness boundary conditions and the compatibility equations of the local linear elastodynamics have been satisfied in the models [16,17] and their final (numerical) form in the case of the free vibration has been expressed as follows:…”

Section: New 2d Local Vibrational Modelmentioning

confidence: 99%

“…The edge conditions for the core, satisfied in the new model, correspond to the conditions employed in Karczmarzyk [18], Karczmarzyk et al [19]; however, instead of the stresses the stress resultants have been equated to zero at the edges of the core. The number of the final equations and inclusion of the edge boundary conditions for the core make the new model quite different than the previous models [16,17]. In order to verify the new model some numerical results were obtained and are compared for two sets of input data with results predicted by other models, published in Raville et al [10], Sakiyama et al [11], Nilsson and Nilsson [12], and Sokolinsky and Nutt [13].…”

Section: New 2d Local Vibrational Modelmentioning

confidence: 99%

“…The displacements in the faces are composed of two ingredients as follows [16,17],…”

Section: Total Fields Within the Faces And Corementioning

confidence: 99%

See 2 more Smart Citations

A New 2D Local Vibrational Model for Unidirectional Clamped—Clamped Sandwich Structure with Edge Stiffeners

Karczmarzyk

2009

Jnl of Sandwich Structures & Materials

View full text Add to dashboard Cite

Flexural vibration of a clamped—clamped, three-layer, one-span sandwich, unidirectional structure composed of isotropic layers is considered in the article. A new single series model of the 2D problem, obtained within the local theory of linear elastodynamics, is presented. Very realistic boundary conditions at edges of the structure, which correspond to the engineering solution with the edge stiffeners, are introduced and satisfied. Eight eigenfrequencies of the structure for two sets of input data are calculated, according to the new model, and compared with numerical and experimental results existing in the literature. A detail comparative analysis of the results is done and some conclusions are presented.

show abstract

An Effective 2D Linear Elasticity Vibrational Model for Layered and Sandwich Clamped-Clamped Unidirectional Strips

Karczmarzyk

Sandwich Structures 7: Advancing With Sandwich Structures and Materials

View full text Add to dashboard Cite

An Exact Elastodynamic Solution to Vibration Problems of a Composite Structure in the Plane Stress State

Cited by 7 publications

References 0 publications

Numerical and Experimental Analysis of the Influence of Edge Conditions on the Deflection of a Clamped-Clamped Asymmetric Sandwich Strip

Numerical and Experimental Analysis of the Influence of Edge Conditions on the Deflection of a Clamped-Clamped Asymmetric Sandwich Strip

A New 2D Local Vibrational Model for Unidirectional Clamped—Clamped Sandwich Structure with Edge Stiffeners

An Effective 2D Linear Elasticity Vibrational Model for Layered and Sandwich Clamped-Clamped Unidirectional Strips

Contact Info

Product

Resources

About