
Trình Ngọc TrầnHanoi Architectural University · Civil Engineering
Trình Ngọc Trần
Dr.-Ing
About
10
Publications
1,258
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24
Citations
Introduction
Ngoc Trinh Tran has taught engineering mechanics , Stability and Dynamic of Structures and FEM. He is still active with the current research interests limit and shakedown analysis, stochastic optimization, structural optimization.
Additional affiliations
March 2012 - present
August 2006 - February 2012
Education
September 2000 - June 2005
Publications
Publications (10)
A new formulation to calculate shakedown limit load of structures under stochastic conditions of strength and loading is developed. Direct structural reliability design is based on the required failure probabilities by chance constrained programming, which is an effective approach of stochastic programming if it can be formulated as an equivalent d...
A new formulation to calculate the shakedown limit load of Kirchhoff plates under stochastic conditions of strength is developed. Direct structural reliability design by chance con-strained programming is based on the prescribed failure probabilities, which is an effective approach of stochastic programming if it can be formulated as an equivalent...
A new formulation to calculate the shakedown limit load of Kirchhoff plates under stochastic conditions of strength is developed. Direct structural reliability design by chance con-strained programming is based on the prescribed failure probabilities, which is an effective approach of stochastic programming if it can be formulated as an equivalent...
We propose the so-called chance constrained programming model of stochastic programming theory to analyze limit and shakedown loads of structures under random strength with a lognormal distribution. A dual chance constrained programming algorithm is developed to calculate simultaneously both the upper and lower bounds of the plastic collapse limit...
Limit and shakedown analysis solve the plasticity problems by mathematical programming. If the characteristics of structures such as strength and loads are considered as random variables, shakedown analysis can be stated as a stochastic programming problem. The thesis contributes an approach to show that direct structural reliability design can be...
We propose a stochastic programming method to analyse limit and shakedown of structures under random strength with lognormal distribution. In this investigation a dual chance constrained programming algorithm is developed to calculate simultaneously both the upper and lower bounds of the plastic collapse limit or the shakedown limit. The edge-based...
In this paper we propose a stochastic programming method to analyze limit and shakedown of structures
under uncertainty condition of strength. Based on the duality theory, the shakedown load multiplier
formulated by the kinematic theorem is proved actually to be the dual form of the shakedown load
multiplier formulated by static theorem. In this in...
We present a new primal-dual numerical algorithm of the shakedown problem under uncertainty in which the material strength is considered as a normally distributed random variable. Using chance constrained programming, we obtain deterministic equivalent formulations based on upper bound and lower bound theorems which are dual to each other. The prop...
In this paper we propose stochastic programming to analyze limit and shakedown of plate bending under uncertainty conditions of strength. The Kirchhoff plate theory is used to formulate chance con-strained problems. Based on the duality theory, the shakedown load multiplier formulated by the kine-matic theorem is proved actually to be the dual form...
We propose a multicriteria approach to the optimization of trusses. Stress and cross sectional areas of bars are considered as independent variables. This is a distinguishing point of this method. Using two independent variables makes the equilibrium equations become nonlinear. The problem is solved by the Optimization Toolbox of Matlab. In this pa...
Projects
Project (1)
Limit and shakedown analysis are direct methods of plasticity, which calculate the maximum safe load of structures or their minimum overload by mathematical programming. The solution is exact because the minimum and the maximum approach the same value. Under uncertainty, we use optimization methods of structural reliability (FORM/SORM) or more directly and most effectively stochastic programming methods (chance constrained programming). This follow-up of the LISA project is presented in PhD research on limit and shakedown analysis and contributions to the biennial workshops on direct methods.