Extension of Hencky bar-net model for vibration analysis of rectangular plates with rectangular cutouts

Zhang, Y.P.; Wang, Chen; Pedroso, Dorival M.; Zhang, H.

doi:10.1016/j.jsv.2018.06.029

Cited by 36 publications

(8 citation statements)

References 39 publications

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“…The nondimensional fundamental frequency is depcited in Table 2. The predicted results agree well with reference results of the HBM method [52], Modified Ritz method [53], FEM [53], and Discrete Ritz method [55]. 4 and agree well with results from [52].…”

Section: Vibration Analysissupporting

confidence: 81%

“…The predicted results agree well with reference results of the HBM method [52], Modified Ritz method [53], FEM [53], and Discrete Ritz method [55]. 4 and agree well with results from [52]. The nonlinear encoding layer adopted in this study is [60,20], which is better suitable for varying geometries.…”

Section: Vibration Analysissupporting

confidence: 81%

“…We now apply DAEM to extract the fundamental frequency in a transversal vibration analysis. The results are compared with reference solutions from [52,53,54,55]. Let us consider a square plate with a square cutout as shown in Figure 15, ξ is the ratio of the inner to outer square size.…”

Section: Vibration Analysismentioning

confidence: 99%

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Deep Autoencoder based Energy Method for the Bending, Vibration, and Buckling Analysis of Kirchhoff Plates

Zhuang,

Guo,

Alajlan

et al. 2020

Preprint

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In this paper, we present a deep autoencoder based energy method (DAEM) for the bending, vibration and buckling analysis of Kirchhoff plates. The DAEM exploits the higher order continuity of the DAEM and integrates a deep autoencoder and the minimum total potential principle in one framework yielding an unsupervised feature learning method. The DAEM is a specific type of feedforward deep neural network (DNN) and can also serve as function approximator. With robust feature extraction capacity, the DAEM can more efficiently identify patterns behind the whole energy system, such as the field variables, natural frequency and critical buckling load factor studied in this paper. The objective function is to minimize the total potential energy. The DAEM performs unsupervised learning based on random generated points inside the physical domain so that the total potential energy is minimized at all points. For vibration and buckling analysis, the loss function is constructed based on Rayleigh's principle and the fundamental frequency and the critical buckling load is extracted. A scaled hyperbolic tangent activation function for the underlying mechanical model is presented which meets the continuity requirement and alleviates the gradient vanishing/explosive problems under bending analysis. The DAEM can be easily implemented

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Section: Vibration Analysissupporting

confidence: 81%

Section: Vibration Analysissupporting

confidence: 81%

See 1 more Smart Citation

Deep Autoencoder based Energy Method for the Bending, Vibration, and Buckling Analysis of Kirchhoff Plates

Zhuang,

Guo,

Alajlan

et al. 2020

Preprint

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show abstract

“…The results are also obtained theoretically as well as experimentally. Vibration analysis of rectangular plates with rectangular cutouts is investigated by using extended Hencky bar-net method (HBM) [4]. Method of reverberation ray matrix (MRRM) and golden section search (GSS) algorithm [5] is applied to obtain the exact solution of rectangular plates with arbitrary boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Effect of linear variation in density and circular variation in Poisson’s ratio on time period of vibration of rectangular plate

Kumar¹,

Lather²,

Bhardwaj³

et al. 2018

Vib. proced.

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In this paper, a theoretical analysis is carried out to investigate the effect of linear variation in density and circular variation in Poisson's ratio on time period of frequency modes of rectangular plate with variable thickness under temperature field. The thickness variation is considered to be circular and temperature variation on the plate is assumed to be bi-linear. Rayleigh Ritz method is used to solve the differential equation. All the results (time period for first two modes of vibration) are presented with the help of tables.

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“…вище), модулі озброєння у ході стрільби чергою чинять поліімпульсний вплив на бронекорпус і підвіску через погон. Якщо подавати бойову машину традиційною динамічною багатомасовою системою [4,6,7], то для моделювання реакції цієї системи на дію гармонійного збудження існує потужний математичний апарат [4,[6][7][8][9][10][11][12][13][14]. Крім того, для моделювання збудження силами із довільним законом розподілу зовнішніх сил у часі можливе (у рамках багатомасової моделі) чисельне інтегрування рівнянь руху [4,7,8,15].…”

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Analysis the Reaction of Lightarmor Machines on the Action of Polypulses Forces

Grabovskiy¹,

Tkachuk²,

Nabokov³

et al. 2021

МіСАПР

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In modern conditions, lightarmored vehicles with powerful weapon modules are widely used in the armies of different countries. These modules are equipped with small-caliber automatic cannons, which have a rate of fire of several hundred rounds per minute and a high level of recoil forces. Moreover, there are tendencies towards an increase in the rate of fire and the caliber of weapons (and, accordingly, recoil forces). Considering that weapon modules rely on the lightarmored vehicles skeleton, which has higher responsiveness characteristics than heavy combat vehicles in terms of weight, the problem of determining the reaction of the «weapon module - armored hull - suspension» system to the action of recoil forces in order to ensure on the one hand, the strength of armored hulls, and on the other hand, reducing the load on the guidance and stabilization system of weapons during firing.To study the response of elements of lightly armored vehicles to the action of recoil forces when firing a burst of combat modules, numerous models have been built with a small number of degrees of freedom. Using these models, the reaction of a dynamic system to the action of a number of impulses was investigated.These impulses caused by the action of recoil forces when firing shots from combat modules. Keywords: lightlyarmored vehicle; weapon module; small-bore automatic cannon; recoil force targeting and weapon stabilization system; dynamic system; numerical modeling; method of finite elements; natural vibration frequency

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Extension of Hencky bar-net model for vibration analysis of rectangular plates with rectangular cutouts

Cited by 36 publications

References 39 publications

Deep Autoencoder based Energy Method for the Bending, Vibration, and Buckling Analysis of Kirchhoff Plates

Deep Autoencoder based Energy Method for the Bending, Vibration, and Buckling Analysis of Kirchhoff Plates

Effect of linear variation in density and circular variation in Poisson’s ratio on time period of vibration of rectangular plate

Analysis the Reaction of Lightarmor Machines on the Action of Polypulses Forces

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