Modal density of thin composite cylindrical shells

Florence, S. Josephine Kelvina; Renji, K.

doi:10.1016/j.jsv.2015.11.030

Cited by 6 publications

(5 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(59), which is the same as the expression reported for modal density of thin composite cylindrical shells. 11 When the shear effects are neglected, the expression for modal density derived here converges to that of thin composite cylindrical shells. .…”

Section: Negligible Transverse Shear Deformationsmentioning

confidence: 75%

“…15,16 The stresses are related to the strains through elastic stiffness coefficients denoted by Q ij , details of which are not given here for brevity but explained in Josephine Kelvina Florence and Ranji work. 11 The strains are related to the midsurface strains and curvatures through Eqs. (19-21).…”

Section: Force and Moment Resultantsmentioning

confidence: 99%

“…11 This condition can be achieved by taking N to ∞. Taking N inside the braces of general expression, we get…”

Section: Negligible Transverse Shear Deformationsmentioning

confidence: 99%

See 2 more Smart Citations

Modal Density of Honeycomb Sandwich Composite Cylindrical Shells Considering Transverse Shear Deformation

Florence¹,

Renji²,

Subramanian³

2018

IJAV

View full text Add to dashboard Cite

Honeycomb sandwich shells with composite face sheets are of extensive use in the spacecraft industry. Information on the number of resonant modes present in a frequency band is required to study their response behaviour under acoustic excitation. Modal densities of thin composite cylindrical shells have been reported while transverse shear deformations have not been considered. But in honeycomb sandwich panels, transverse shear deformations are significant, especially at higher order modes of vibration. In this work expressions for natural frequency and modal density of composite cylinders incorporating transverse shear deformation are derived. The modal densities of a typical cylinder that are obtained using the derived expression are compared with the results obtained using the finite element method and they are similar. Effects of transverse shear and orthotropic nature of the face sheets on the modal densities are investigated. It is shown that computing the modal density of honeycomb sandwich cylinders without considering the transverse shear deformation can lead to significant errors at high frequencies. Expressions of modal densities for special cases are also derived from the general expression.

show abstract

Section: Negligible Transverse Shear Deformationsmentioning

confidence: 75%

Section: Force and Moment Resultantsmentioning

confidence: 99%

See 1 more Smart Citation

Modal Density of Honeycomb Sandwich Composite Cylindrical Shells Considering Transverse Shear Deformation

Florence¹,

Renji²,

Subramanian³

2018

IJAV

View full text Add to dashboard Cite

show abstract

“…No expression for determining the modal densities of composite panels considering their rotary inertia is reported yet. Even the works on the modal densities of composite cylindrical shells (Josephine Kelvina Florence and Renji, 2016, 2018) from where one can determine the modal densities of panels, do not include rotary inertia. There are several experimental workscarried out in determining the modal densities such as Clarkson and Pope (1981), Clarkson and Ranky (1983) and Renji (2000) on composite panels.…”

Section: Introductionmentioning

confidence: 99%

Modal density and critical frequency of composite panels considering transverse shear deformation and rotary inertia

Renji

2020

Journal of Vibration and Control

View full text Add to dashboard Cite

In this work, expressions for estimating the modal density, speed of the bending wave, critical frequency and coincidence frequency of panels are derived considering orthotropic properties of the face sheets, transverse shear deformation and the rotary inertia. Presence of rotary inertia results in an increase in the modal density and a reduction in the speed of the bending waves. The influence is significant at higher frequencies. The critical and coincidence frequencies increase due to rotary inertia. Results for a typical equipment panel of spacecraft are presented and they show the need for incorporating rotary inertia while determining these parameters.

show abstract

“…Each of these methods began by analyzing different prototypical systems, overcoming obstacles such as different coordinate systems [14], spatial parametric or geometric distributions [15], and property uncertainty [16]. Reinforcements, discontinuities [17], and even nonlinear systems have been investigated [18,19].…”

Section: Introductionmentioning

confidence: 99%

High Frequency Analysis of a Point-Coupled Parallel Plate System

Culver

Dowell

2017

Journal of Vibration and Acoustics

View full text Add to dashboard Cite

The root-mean-square (RMS) response of various points in a system comprised of two parallel plates coupled at a point undergoing high frequency, broadband transverse point excitation of one component is considered. Through this prototypical example, asymptotic modal analysis (AMA) is extended to two coupled continuous dynamical systems. It is shown that different points on the plates respond with different RMS magnitudes depending on their spatial relationship to the excitation or coupling points in the system. The ability of AMA to accurately compute the RMS response of these points (namely, the excitation point, the coupling points, and the hot lines through the excitation or coupling points) in the system is shown. The behavior of three representative prototypical configurations of the parallel plate system considered is: two similar plates (in both geometry and modal density), two plates with similar modal density but different geometry, and two plates with similar geometry but different modal density. After examining the error between reduced modal methods (such as AMA) to classical modal analysis (CMA), it is determined that these several methods are valid for each of these scenarios. The data from the various methods will also be useful in evaluating the accuracy of other methods including statistical energy analysis (SEA).

show abstract

Modal density of thin composite cylindrical shells

Cited by 6 publications

References 13 publications

Modal Density of Honeycomb Sandwich Composite Cylindrical Shells Considering Transverse Shear Deformation

Modal Density of Honeycomb Sandwich Composite Cylindrical Shells Considering Transverse Shear Deformation

Modal density and critical frequency of composite panels considering transverse shear deformation and rotary inertia

High Frequency Analysis of a Point-Coupled Parallel Plate System

Contact Info

Product

Resources

About