Search Results - "Muhanna, Rafi L."

Uncertainty in Mechanics Problems-Interval-Based Approach by Muhanna, Rafi L, Mullen, Robert L

“…This paper presents a nontraditional uncertainty treatment for mechanics problems. Uncertainties are introduced as bounded possible values (intervals)…”
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Interval deep learning for computational mechanics problems under input uncertainty by Betancourt, David, Muhanna, Rafi L.

“…Solving problems in complex engineering systems often involves employing a cascade of computational models which solve different sub-problems. In computational…”
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Interval Monte Carlo methods for structural reliability by Zhang, Hao, Mullen, Robert L., Muhanna, Rafi L.

“…This paper considers structural reliability assessment when statistical parameters of distribution functions can not be determined precisely due to epistemic…”
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Reliability Assessment with Fuzzy Random Variables Using Interval Monte Carlo Simulation by Jahani, Ehsan, Muhanna, Rafi L., Shayanfar, Mohsen A., Barkhordari, Mohammad A.

“…In this work structural reliability assessment is presented for structures with uncertain loads and material properties. Uncertain variables are modeled as…”
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Multilevel Multiplicative Interval Uncertainty in Linear Structural Analysis by Mullen, Robert L., Muhanna, Rafi L.

“…Interval treatments of uncertainty are plagued by dependency issues in their implementation. Ignoring the dependency among interval values can lead to a…”
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Bounds of Structural Response for All Possible Loading Combinations by Mullen, Robert L, Muhanna, Rafi L

“…In this paper, a new treatment of load uncertainties in structural problems based on fuzzy set theory is introduced. A fuzzy finite-element method (FFEM) for…”
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Interval-Based Approach for Uncertainty Propagation in Inverse Problems by Fedele, Francesco, Muhanna, Rafi L, Xiao, Naijia, Mullen, Robert L

“…AbstractA new class of interval-based computational algorithms for parameter identification under uncertainty in structural engineering problems is presented…”
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Natural Frequencies of a Structure with Bounded Uncertainty by Modares, Mehdi, Mullen, Robert L, Muhanna, Rafi L

“…Frequency analysis of a structural system with bounded uncertainty is presented. An interval (set-theoretic) formulation is used to quantify the uncertainty…”
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Uncertainty Analysis of Static Plane Problems by Intervals by Xiao, Naijia, Muhanna, Rafi L., Fedele, Francesco, Mullen, Robert L.

“…We present a new interval-based formulation for the static analysis of plane stress/strain problems with uncertain parameters in load, material and geometry…”
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Interval Finite Element Analysis of Structural Dynamic Problems by Xiao, Naijia, Muhanna, Rafi L., Fedele, Francesco, Mullen, Robert L.

“…We analyze the frequency response of structural dynamic systems with uncertainties in load and material properties. We introduce uncertainties in the system as…”
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Combined Axial and Bending Stiffness in Interval Finite-Element Methods by Muhanna, Rafi L, Zhang, Hao, Mullen, Robert L

“…This paper presents a new approach for the treatment of parameter uncertainty for linear static structural mechanics problems. Parameter uncertainties are…”
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Penalty-Based Solution for the Interval Finite-Element Methods by Muhanna, Rafi L, Mullen, Robert L, Zhang, Hao

“…A new approach for achieving guaranteed reliable results within the context of finite-element approximation of mechanical systems is developed. A reliable…”
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Interval boundary element method in the presence of uncertain boundary conditions, integration errors, and truncation errors by Zalewski, Bart F., Mullen, Robert L., Muhanna, Rafi L.

“…In engineering, most governing partial differential equations for physical systems are solved using finite element or finite difference methods. Applications…”
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Fuzzy Boundary Element Method for Geometric Uncertainty in Elasticity Problem by Zalewski, Bart F, Mullen, Robert L, Muhanna, Rafi L

“…Solutions to partial differential equations describing behavior of physical systems are often imprecise. This uncertainty is due to numerical approximations…”
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Improved interval finite element for analysis of planar frames by Xiao, Naijia, Muhanna, Rafi L., Fedele, Francesco, Mullen, Robert L.

“…•Intervals can be used for uncertainty modeling in structural mechanics and providing meaningful results.•Overestimation due to interval dependency can be…”
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Formulation of Fuzzy Finite-Element Methods for Solid Mechanics Problems by Muhanna, Rafi L., Mullen, Robert L.

“…Accounting for uncertainties in mechanics problems has been accomplished previously by probabilistic methods that may require highly repetitive and…”
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Buckling Analysis of Structures with Interval Uncertainty by Modares, Mehdi, Mullen, Robert L., Bellini, Paul X., Muhanna, Rafi L.

“…In order to ensure the safety of a structure, adequate strength for structural elements must be provided. In addition, the catastrophic deformations such as…”
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Buckling analysis of structures with interval uncertainty: Journal of passenger cars: mechanical systems by MODARES, Mehdi, MULLEN, Robert L, BELLINI, Paul X, MUHANNA, Rafi L

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Efficient interval methods for finite element solutions by Mullen, R.L., Muhanna, R.L.

“…An efficient method for including the impact of uncertain input data along with the impact of truncation errors in finite element calculations is presented…”
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