Scaling impacted structures when the prototype and the model are made of different materials

Alves, Marcı́lio; Oshiro, R.E.

doi:10.1016/j.ijsolstr.2005.03.003

Cited by 49 publications

(26 citation statements)

References 19 publications

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“…Obviously, an ideal scaled model should satisfy the complete similarity conditions, which means the model and the prototype should use the same material and every geometrical property are in proportional. Nevertheless, for some problems, it is not feasible to fulfill the requirement of complete similarity conditions, which leads to an incomplete similarity (Alves and Oshiro, 2006).…”

Section: High-order Vibrations' Dynamic Scaling Laws Of Distorted Scamentioning

confidence: 99%

High-Order Vibrations’ Dynamic Scaling Laws of Distorted Scaled Models of Thin-Walled Short Cylindrical Shells

Zhang

Zhu

Zhao

et al. 2015

Mechanics Based Design of Structures and Machines

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In this study, we investigate the dynamic scaling laws of geometrically distorted models for predicting dynamic characteristics of thin-walled short cylindrical shells. Approximate and accurate analysis methods for obtaining the scaling laws are introduced. Two coefficient functions are established in deriving high-order scaling laws for a narrow range distorted model. Then a modified function is obtained by using numerical analysis, in order to modify the errors of wide range distorted models. The general form of the high-order scaling laws of thin-walled short cylindrical shells is also developed. To be practical, a process of detecting scaling laws by experimental operation is summarized, and the applicability of scaling laws is validated by using experimental data. Although there are some limitations in practice, the scaling laws of the thin-walled short cylindrical shell still have the ability to predict the prototype with good accuracy.

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Section: High-order Vibrations' Dynamic Scaling Laws Of Distorted Scamentioning

confidence: 99%

High-Order Vibrations’ Dynamic Scaling Laws of Distorted Scaled Models of Thin-Walled Short Cylindrical Shells

Zhang

Zhu

Zhao

et al. 2015

Mechanics Based Design of Structures and Machines

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“…Also, the stiffness and damping properties of the models were calculated by analytical methods. Alves and Oshiro (2006) [4] applied axial and horizontal impact forces to two models consisting of steel and aluminum. As a result of the study, they stated that reduced-scale models with different materials under the effects of impact load can exhibit the behavior of the prototype.…”

Section: Introductionmentioning

confidence: 99%

Investigation on Similarity between Dynamic Behavior of a Reduced-Scale One Span Historical Masonry Arch Bridge Model and Prototype Bridge

Alpaslan

Karaca²

2019

CEBEL

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Experimental investigations of large and complex structural systems can be carried out by reduced-scale models in terms of convenience, time-saving and economical. This can be applied to different fields of study such as vibration, impact and explosion problems in structural engineering and allows reliable analysis to understand the static and dynamic behavior of real structures called a prototype. This study aims that a 1/3 reduced-scale model is created in the laboratory environment considering similitude requirements by selecting a single span historical masonry arch bridge as a prototype structure. For this purpose, the Operational Modal Analysis (OMA) Technique is utilized for experimental study to determine modal parameters of the prototype and model bridges. The similarity of the dynamic behavior of the reduced-scale bridge model and prototype are investigated. The analysis of the similarity in the dynamic behavior of the prototype and model bridge consists of comparing the natural frequencies and mode shapes by utilizing the modal assurance criterion (MAC) corresponding to the translational, bending and torsional modes. As a result of the study, it is concluded that the dynamic behavior of the reduced-scale bridge model is similar to the dynamic behavior of the prototype bridge.

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“…Also, Alves and Oshiro (2006a) showed a procedure to obtain the model impact mass for a strain rate sensitive structure such that the model and the prototype behave the same. Alves and Oshiro (2006b) further expanded the methodology in Oshiro and Alves (2004) and Alves and Oshiro (2006a) to the case where the model is made of a different material from that of the prototype. By so proceeding, it is possible to predict, in an extreme case, the strain rate sensitive prototype behaviour from a non-strain rate sensitive model response.…”

Section: Introductionmentioning

confidence: 99%

Effects of the Strain Rate Sensitivity and Strain Hardening on the Saturated Impulse of Plates

Zhu

Chen

et al. 2017

Lat. Am. j. solids struct.

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This paper studies the stiffening effects of the material strain rate sensitivity and strain hardening on the saturated impulse of elastic, perfectly plastic plates. Finite element (FE) code ABAQUS is employed to simulate the elastoplastic response of square plates under rectangular pressure pulse. Rigid-plastic analyses for saturated impulse, which consider strain rate sensitivity and strain hardening, are conducted. Satisfactory agreement between the finite element models (FEM) and predictions of the rigid-plastic analysis is obtained, which verifies that the proposed rigid-plastic methods are effective to solve the problem including strain rate sensitivity and strain hardening. The quantitative results for the scale effect of the strain rate sensitivity are given. The results for the stiffening effects suggest that two general stiffening factors 1 n and 2 n , which characterizes the strain rate sensitivity and strain hardening effect, respectively can be defined. The saturated displacement is inversely proportional to the stiffening factors (i.e. 1 n and 2 n ) and saturated impulse is inversely proportional to the square roots of the stiffening factors (i.e. 1 n and 2 n ). Formulae for displacement and saturated impulse are proposed based on the empirical analysis.

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Scaling impacted structures when the prototype and the model are made of different materials

Cited by 49 publications

References 19 publications

High-Order Vibrations’ Dynamic Scaling Laws of Distorted Scaled Models of Thin-Walled Short Cylindrical Shells

High-Order Vibrations’ Dynamic Scaling Laws of Distorted Scaled Models of Thin-Walled Short Cylindrical Shells

Investigation on Similarity between Dynamic Behavior of a Reduced-Scale One Span Historical Masonry Arch Bridge Model and Prototype Bridge

Effects of the Strain Rate Sensitivity and Strain Hardening on the Saturated Impulse of Plates

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