An analytical–numerical method to analyze single degree of freedom models under airblast loading

Campidelli, Manuel; Viola, Erasmo

doi:10.1016/j.jsv.2006.11.024

Cited by 16 publications

(18 citation statements)

References 15 publications

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“…Similarly to the conclusion proposed by Campidelli and Viola [2007], Figs. 4 to 14 all illustrate that, although applying the function provided by Li and Meng [2002] is very simple and efficient, it can only be used to determine elastic normalized PI curves for pulse load shapes associated with external blasts.…”

Section: Validation Of Elastic Normalized Pressure Impulse Curvessupporting

confidence: 86%

A New Approach to Derive Normalized Pressure Impulse Curves for Elastic Members

Dragos

2013

J. Earthquake and Tsunami

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A pressure impulse (PI) diagram is a useful preliminary design tool for structural members against blasts. An extensive amount of investigation has been undertaken to generalize PI curves, using single degree of freedom (SDOF) theory, for elastic structural members. In this study, a new original approach also using SDOF theory, relying on the concept of effective pulse shape, is presented for determining a PI curve for any elastic member. The advantage of this approach is that it can be applied to any given type of blast load. The techniques and equations involved in this approach are outlined. Then, to assess the accuracy of this approach, elastic normalized PI curves generated using the new approach are compared against those obtained using the traditional methods. Finally, this approach is compared against other simplified techniques for determining elastic normalized PI curves. Keywords: Blast load; pressure impulse curve; single degree of freedom (SDOF) model. * Corresponding author. 1350016-1 J. Earthquake and Tsunami 2013.07. Downloaded from www.worldscientific.com by UNIVERSITY OF CALIFORNIA @ SAN DIEGO on 04/12/15. For personal use only. J. Dragos & C. Wu Lindberg, 1976;Li and Jones, 2005;Ma et al., 2007]. They are typically derived using the SDOF theory, thus, if the parameters used to define the SDOF parameters are accurate, the PI curve will also be accurate. A normalized PI curve represents a family of PI curves which, coupled with a set of expressions for minimum impulse and minimum peak reflected pressure, can be used to quickly determine the PI curve of any given structural member. Li and Meng [2002] and Krauthammer et al. [2007] undertook a dimensional analysis on PI curves for elastic members subjected to different pulse loads corresponding to external blasts. Three pulse load shapes were investigated; exponential, triangular, and rectangular. Li and Meng [2002] then used this to investigate, and thus attempted to generalize, the effects of pulse shape on the elastic normalized PI curve. In their approach, they introduced two new parameters which are functions of the shape of the pulse load. These two parameters are then used to determine a general function for an elastic normalized PI curve. Campidelli and Viola [2007] then attempted to extend the approach to be more applicable for a wider range of pulse shapes, instead of just exponential, rectangular, and triangular. They found that for some other pulse shapes, the errors involved using this method were quite significant. The main limitation of this approach is that within different regions of a PI curve, the shape of the pulse load experienced by the structural member changes. This is due to the relative relationship between the load function and the structural response [Krauthammer et al., 2007].In this study, the pulse load actually experienced by the structural member, which is related to the structural response, is defined as the effective pulse load. In this paper, the concept of effective pulse load, defined differently to that of ...

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Section: Validation Of Elastic Normalized Pressure Impulse Curvessupporting

confidence: 86%

A New Approach to Derive Normalized Pressure Impulse Curves for Elastic Members

Dragos

2013

J. Earthquake and Tsunami

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“…where M is the bending moment in slab, In phase 1, the governing equation is given by (18) with the same boundary and initial conditions given in Eqs. (6), (12), and (13).…”

Section: Fig 1 Sketch Of Shear and Bending Failure Modementioning

confidence: 99%

“…The SDOF approach might oversimplify a structure or a structural element due to the limitation of its mathematical form. Based on the SDOF model, shear deformation effect was either neglected in the analysis [5][6][7] or considered separately by another SDOF model [8,9]. For a mixed failure mode, the SDOF model becomes invalid.…”

Section: Introductionmentioning

confidence: 99%

Damage Assessment of Two-Way RC Slab Subjected to Blast Load Using Mode Approximation Approach

Huang

Bao²,

Hao

et al. 2017

Int. J. Str. Stab. Dyn.

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Significant research efforts have been invested on studying the response and damage of structures subjected to blast loads for better life and property protections. The single-degree-of-freedom (SDOF) approach has been widely adopted to simplify the structural response analysis for engineering design purpose. However, such an approach under certain circumstances oversimplifies the structural behavior and might not give reliable predictions of structural responses to blast loads. On the other hand, although detailed high fidelity finite element (FE) approach is able to give relatively accurate predictions of structural response, it is unfortunately not straightforward for application and very time-consuming, which impedes its application among engineers. Therefore, a method that can assure not only reliability but also efficiency is highly needed for design practice. In the present study, mode approximation method with Pressure–Impulse (P-I) diagrams is applied to analyze response and damage of RC slab due to blast load. Slab under analysis is assumed rigid-plastic and simply supported. Shear failure, bending failure and combined failure modes are considered based on different failure modes. Critical equations for structural shear and bending failures are derived respectively with appropriate failure criteria. P–I diagrams are then developed for quick damage assessments. The analytical results are verified by comparing with high fidelity numerical simulations. The reliability and efficiency of using this approach for design and analyzing RC slab response under blast loads are demonstrated.

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“…The dependence of the model and failure behavior on characteristic blast sizes is often visualized in two-dimensional diagrams [24,25]. If peak overpressure p 0 and specific blast impulse…”

Section: Failure Model and P-i Diagramsmentioning

confidence: 99%