Vibration of skew plates by using B-spline functions

Mizusawa, T.; Kajita, Tateo; Naruoka, Masao

doi:10.1016/0022-460x(79)90029-4

Cited by 106 publications

(21 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The solution procedure of vibration of skew thick plates with varying thickness in the x direction is based on the Mindlin plate theory [3] and the spline element method [2], which can be regarded as an alternative form of the "nite element method.…”

Section: Spline Element Methodsmentioning

confidence: 99%

“…To deal with arbitrary boundary conditions along the edges of a plate, the method of arti"cial springs [2] is applied. Three types of arti"cial springs corresponding to the de#ection = and the two angles of rotation V , W are introduced at each edge of the plate.…”

Section: Applications Of the Spline Element Methodsmentioning

confidence: 99%

“…Much research has been carried out on the free vibration of thin skew plates [1,2]. However, thick skew plates with variables thickness have received little attention.…”

Section: Introductionmentioning

confidence: 99%

“…One of them is the spline "nite strip method developed by Cheung and Fan [14] in which the mid-plane de#ections are expressed as the sum of a "nite series of products of B-spline functions and polynomial interpolation functions. The spline element method presented by Mizusawa et al [2] using B-spline functions was regarded as an alternative form of the displacement-based "nite element procedure to analyze vibration of skew thin plates. A new spline element model which employs a set of B-spline shape functions for interpolation of displacements and adopts a subparametric approach for general geometry of plates was proposed by Fan and Luah [15,16] to analyze bending and vibration of plates.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Application of the Spline Element Method to Analyze Vibration of Skew Mindlin Plates With Varying Thickness in One Direction

Mizusawa¹,

Kondo²

2001

Journal of Sound and Vibration

Self Cite

View full text Add to dashboard Cite

Section: Spline Element Methodsmentioning

confidence: 99%

Section: Applications Of the Spline Element Methodsmentioning

confidence: 99%

“…Much research has been carried out on the free vibration of thin skew plates [1,2]. However, thick skew plates with variables thickness have received little attention.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Application of the Spline Element Method to Analyze Vibration of Skew Mindlin Plates With Varying Thickness in One Direction

Mizusawa¹,

Kondo²

2001

Journal of Sound and Vibration

Self Cite

View full text Add to dashboard Cite

“…The minimum number of elements in the chord wise has been determined, and it has also been found that, with a new, modified element, one chord wise element will provide sufficient accuracy. Mizusawa et al (1979) presented vibration analysis of isotropic rectangular plates with free edges by the Rayleigh-Ritz method with B-spline functions. Accurate frequencies of rectangular plates are analyzed for different aspect ratios and boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of isotropic plate with stiffeners using finite element method

Yadav¹,

Sharma²,

Shivhare³

2015

10.5267/j.esm

View full text Add to dashboard Cite

This paper presents the free vibration analysis of stiffened isotropic plate by means of finite element method. Stiffeners are used in plates to increase the strength and stiffness. The effect of position of stiffeners on isotropic plate has been studied which involve the possible combination of clamped and free edge condition. The model has been discretized using a 20-node solid element (SOLID186) from the ANSYS element library. The natural frequencies are calculated using Block-Lanczos algorithm. The comparisons of stiffened plate with the available results are found to be in good uniformity. The effect of different boundary conditions, stiffeners location, thickness ratio, stiffener thickness to plate thickness and aspect ratio on the vibration analysis of stiffened plates has been studied.

show abstract

Adaptable Spline Element for Membrane Vibration Analysis

Chen

1996

Int. J. Numer. Meth. Engng.

View full text Add to dashboard Cite

SUMMARYAn adaptable curved quadrilateral element based on quadratic B-splines is developed for finite element analysis of membrane vibration problems. The approximated displacement field in each element is divided into corners, edges and internal modes. The number of knots on the edges of elements are distinct in any integer power of 2. The elements of different resolutions can be thus connected smoothly under the constraint from the 'two-scale relation' of splines bases. The displacement compatibility on the interconnected edges between adjacent elements is satisfied along the whole edge. The advantages of the proposed element also result in a more adaptable element meshing strategy for structural discretization. Some numerical examples are studied as verification and demonstration of the present work.

show abstract

Vibration of skew plates by using B-spline functions

Cited by 106 publications

References 10 publications

Application of the Spline Element Method to Analyze Vibration of Skew Mindlin Plates With Varying Thickness in One Direction

Application of the Spline Element Method to Analyze Vibration of Skew Mindlin Plates With Varying Thickness in One Direction

Free vibration analysis of isotropic plate with stiffeners using finite element method

Adaptable Spline Element for Membrane Vibration Analysis

Contact Info

Product

Resources

About