Optimal design of redundant structural systems: fundamentals

Beck, André Teófilo

doi:10.1016/j.engstruct.2020.110542

Cited by 17 publications

(5 citation statements)

References 73 publications

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“…That is the converging conclusion described earlier: the progressive collapse design does not seem to be economically justified unless the probability of initiating hazards are at some absurdly high level which is one or two magnitude above the likelihood empirically calibrated (Beck et al, 2020;Grant & Stewart, 2015;. Under a fairly general framework, Beck (2020) concluded that the latent failure probability is the single most important parameter in determining optimal solutions. Using a separate LQI analysis, Thons and Stewart (2020) again confirmed that none of the assessed risk reduction strategies is cost efficient in the empirical range of the probability of threats.…”

Section: A Brief Review Of Decision Making Frameworkmentioning

confidence: 92%

Robustness-Based Optimal Progressive Collapse Design of Reinforced Concrete

Praxedes Silva Neto

2023

Preprint

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Progressive collapse of structures is a cascading failure phenomenon with a failure consequence that is disproportionate to the direct damage of an initiating event. The Ronan Point Building collapse in 1968 triggered the start of research on disproportionate progressive collapse in building structural engineering. Intense research was followed after the Alfred P. Murrah Federal Building bombing in 1995 and the disastrous collapse of the World Trade Centre after aircraft strikes. Progressive collapse has essentially two distinct features: system- rather than component-level responses, and low probability and high consequences. The majority of existing design codes and standards consider progressive collapse implicitly, by improving the performance of a structure through the specification of minimum levels of strength, continuity, and ductility. On the other hand, existing explicit design procedures largely consist of a component-based design approach. This study proposes an innovative system-based and risk-informed decision making framework for progressive collapse design of reinforced concrete frames. Considering the full spectrum of risk due to initiating events, a novel risk-based robustness index is proposed as a system-level performance criterion for design. From a conventionally designed structure, an optimization pro- cess identifies optimal allocation of resources that results in a robust system. An efficient design frontier is defined based on optimal designs when varying the additional expenses provided for the improvement of robustness of a structure. The efficient frontier is then used to verify the cost effectiveness of the design alternatives in conjunction with the cumulative prospect theory. In order to assist in the decision-making process of progressive collapse design provisions, a risk-cost trade-off framework is proposed. The design framework establishes whether additional resources must be used to enhance the robustness of a structure, and when required, it further identifies the optimal expenses that should be used to prevent potential progressive collapse.

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Section: A Brief Review Of Decision Making Frameworkmentioning

confidence: 92%

Robustness-Based Optimal Progressive Collapse Design of Reinforced Concrete

Praxedes Silva Neto

2023

Preprint

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“…However, most papers addressing the mechanics of load transfer as structural damage progresses are deterministic [12], [13], [19]- [25]. Formulations addressing the reliability of structures in progressive failure scenarios are rare [6]- [8], [14]- [18]. Hence, application of the FLHB model to the reliability analysis of truss structures in progressive collapse analysis of hyperstatic trusses is the main contribution of this paper.…”

Section: Basic Formulationmentioning

confidence: 99%

“…One significant difficulty in probabilistic analysis of progressive failure of several-times hyperstatic structures is handling the large number of possible conditional failure paths and branches, as illustrated in [6]- [8]. Analytical evaluation of the probabilities of each failure branch is quite involving, generally limited to a single or to fully dependent loads, or to the few more important failure paths and branches [38], [39].…”

Section: Conditional Failure Events During Progressive Failurementioning

confidence: 99%

“…Complementing points a) to f) above, probabilistic or reliability analysis of progressive collapse is widely desired [2]- [8] because of the large uncertainties involved in material and element failures [9] and due to a large number of hazard loading events with low probability of occurrence. In probabilistic analyses, points e) and f) above increase in importance, as progressive analyses need to be repeated hundreds to thousands of times, considering different realizations of the problem's random variables.…”

Section: Introductionmentioning

confidence: 99%

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Reliability analysis of truss structures considering complete failure paths and using the FLHB model

Felipe

Leonel

Haach

et al. 2021

Rev. IBRACON Estrut. Mater.

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The study of progressive collapse of structures using numerical models requires accurate modeling of geometrical nonlinearity and material failure behavior. Numerical models must demonstrate stability, such that localized member failures do not trigger numerical instabilities. Also, algorithms should be efficient, to limit the computational burden of analyzing multiple responses when considering the effects of uncertain loads, geometric and material variables. In this scientific domain, a comprehensive non-linear ductile-damage truss-element model has been recently presented by the authors. The model accounts for the geometrical and material nonlinearities observed during progressive collapse of structural systems. In this paper, the Felipe-Leonel-Haach-Beck (FLHB) model is calibrated to describe the response of Ultra-High-Performance Fiber Reinforced Concrete (UHPFRC). Based on a limited number of UHPFRC experimental curves, statistics of FLHB model parameters are obtained. These are employed in the probabilistic analysis of failure paths of truss structures under progressive collapse. Monte Carlo Simulation and the First Order Reliability Method are employed in the probabilistic failure path analyses. Six application examples demonstrate the accuracy, robustness, and efficiency of the FLHB model in evaluation of failure paths of realistic structural systems.

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“…The FCSTAR robot [17] arranges a belt and gear reduction device at the end of a quadrotor arm to form a drive wheel system, and realizes the controllable folding of a deformable fuselage through a propeller arm mechanism to adjust the fuselage size during ground motion. However, these hybrid modal robots have the following problems: redundant mechanical structure [18], a small range of tasks, poor obstacle surmounting ability of ground mode [19], and easy damage of propellers exposed outside the fuselage. Table 1 illustrates the motion modes and rotor protection strategies of some existing multimodal robots.…”

Section: Introductionmentioning

confidence: 99%

Design and Control of a Reconfigurable Robot with Rolling and Flying Locomotion

Chang,

Yu,

et al. 2024

Actuators

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Given the continual rise in mission diversity and environmental complexity, the adept integration of a robot’s aerial and terrestrial locomotion modes to address diverse application scenarios has evolved into a formidable challenge. In this paper, we design a reconfigurable airframe robot endowed with the dual functionalities of rolling and flying. This innovative design not only ensures a lightweight structure but also incorporates morphing capabilities facilitated by a slider-crank mechanism. Subsequently, a land-to-air transformation strategy for the robot is introduced, achieved through the coordinated movement of the robotic arm and the servo motor. To ensure stable control of the robot amid external wind disturbances, we leverage the collaboration between a Generative Adversarial Network (GAN)and a Nonlinear Model Predictive Control (NMPC) controller. After the wind force magnitude is predicted through the neural network, the robot’s adeptness in flexible trajectory tracking is verified. Under simulated wind conditions of 12.1 m/s, the trajectory error consistently remains within the range of 10–15 cm, affirming the effectiveness of this control method.

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Optimal design of redundant structural systems: fundamentals

Cited by 17 publications

References 73 publications

Robustness-Based Optimal Progressive Collapse Design of Reinforced Concrete

Robustness-Based Optimal Progressive Collapse Design of Reinforced Concrete

Reliability analysis of truss structures considering complete failure paths and using the FLHB model

Design and Control of a Reconfigurable Robot with Rolling and Flying Locomotion

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