A finite strain quadrilateral based on least-squares assumed strains

Areias, P.; Rabczuk, Timon; Sá, J. César de

doi:10.1016/j.engstruct.2015.05.035

Cited by 5 publications

(2 citation statements)

References 44 publications

(84 reference statements)

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“…Taking the processed indices as training samples to the SVM classifier and the existed dynamic nonlinear model can be identified . Afterwards, the nonlinear least square method is further used to identify the nonlinear model parameters . Finally, the proposed method is verified by a benchmark system under a semisinusoidal pulse load and a beam bridge structure subjected to an earthquake load.…”

Section: Introductionmentioning

confidence: 99%

Structural dynamic nonlinear model and parameter identification based on the stiffness and damping marginal curves

Wang

Ding

Ren

et al. 2020

Struct Control Health Monit

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Summary This paper presents a novel structural dynamic nonlinear model and parameter identification method based on the stiffness and damping marginal curves. The stiffness and damping marginal curves are first extracted from the structural dynamic responses. Then, nine nonlinear feature indices (NFIs) are defined based on the marginal curves to describe the characteristics of various nonlinear models. To reduce the dimension of NFIs and facilitate the subsequent calculation of the support vector machine (SVM), the principal component analysis (PCA) is implemented. Afterwards, the NFIs processed by PCA are employed as the training samples to SVM classifier, which is used to identify the structural nonlinear model. According to the identified nonlinear model corresponding to the type of nonlinearity, the parameters of the nonlinear model are further identified by the nonlinear least square method. The numerical results of a single degree of freedom (SDOF) system and a cantilever beam structure demonstrate that the proposed method can effectively identify both nonlinear model and corresponding parameters under various excitations even considering the noise effect. Subsequently, the proposed method is also verified by a benchmark system subjected to a semisinusoidal pulse load and a beam bridge structure subjected to an earthquake load. The proposed method is also applied to the experimental test of a bolted joint cantilever beam subjected to a random excitation in the laboratory. Both numerical and test results demonstrate that the proposed method can identify both nonlinear model and corresponding parameters within good accuracy and robustness.

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Section: Introductionmentioning

confidence: 99%

Structural dynamic nonlinear model and parameter identification based on the stiffness and damping marginal curves

Wang

Ding

Ren

et al. 2020

Struct Control Health Monit

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“…Furthermore, in the area of obtaining analytical evaluation methods for determining mechanical properties of different materials, a few works are submitted by Anvari (2014Anvari ( , 2016aAnvari ( , 2016bAnvari ( , 2017Anvari ( , 2017aAnvari ( , 2017bAnvari ( , 2017c. Moreover, in the area of contact mechanics, a few publications are presented by Areias et al (2014Areias et al ( , 2015 and Timon and Huilong (2017).…”

Section: Introductionmentioning

confidence: 99%

Frictional effect on stress and displacement fields in contact region

Adibnazari¹,

Anvari²

2017

J. Mech. Eng. Res.

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In this study, by applying Giannakopoulos and Pallot's stress and displacement equations, and using the Goryacheva's friction model, the stress and displacement equations are obtained. Finally, by applying analytical method, these equations are solved. By assuming that the roller is rigid and the substrate is almost homogeneous with constant Poisson ratio and constant elastic modulus, the results of frictional effect on stress and displacement fields are achieved and are shown in figures. Using different amounts of friction coefficient, the effect of friction coefficient on stress and displacement inside the contact region in the figures is observed. The new results achieved by the analytical method used in this study for obtaining tangential stress and displacement inside the contact region is compared with the results that were already achieved for obtaining tangential stress and displacement inside the contact region in another study. The comparison between the two analytical methods showed similarity in the results that are achieved by both methods. These results may be very advantageous in the design of suitable substrate and cylinder that are in contact, especially in the model that the substrate is almost homogeneous and the cylinder is rigid.

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