A reduced order method for predicting high cycle fatigue of nonlinear structures

Przekop, Adam; Rizzi, Stephen A.

doi:10.1016/j.compstruc.2006.01.015

Cited by 34 publications

(7 citation statements)

References 12 publications

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“…For reliable evaluation of the numerical analysis of the structure or its parts and joints, the actual load data must be available. There are several studies for stochastic reliability estimation and consequent life prediction of various load-carrying elements and structures [3,[17][18][19][20]. However, there is no generally valid calculation methodology based on probabilistic modelling that would be directly applicable to existing structures under the cyclic load.…”

Section: Introductionmentioning

confidence: 99%

The general procedure of numerical analysis related to a fatigue damage on the cyclically loaded construction

et al. 2020

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The paper presents a general procedure of numerical analysis of the steel structure in case of cyclic loading. The basic recommendations that can be applied to different details, are discussed. The article shows examples of the truss structure loaded with a crane track, but also applicable to other types of constructions. There are basic ideas of the whole process, which is divided into several parts. The beginning of the process is to determine the influence line from the simplified model of the whole structure. A stochastic estimation of the load effect associated with the load history in combination with the influence line is utilized. The complex 3D FEM model for estimation of residual life of the chosen detail is the main result of the analysis.

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Section: Introductionmentioning

confidence: 99%

The general procedure of numerical analysis related to a fatigue damage on the cyclically loaded construction

et al. 2020

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“…Indirect nonlinear modal stiffness evaluation method arose based on implementing reduced-order nonlinear analyses in the context of any commercial finite element analysis. The works of McEwan et al [5,6] and Rizzi et al [7,8] are good examples of the indirect stiffness evaluation approaches. With the direct/indirect nonlinear modal stiffness evaluation method at hand, the large amplitude vibration about multiple equilibrium configurations, which is called "snap-through" response, of the buckled thin structure (beams, plates, or shell) excited by the influence of loading (elevated temperature and acoustic load) has been studied extensively.…”

Section: Introductionmentioning

confidence: 99%

Thermal-Acoustic Fatigue of a Multilayer Thermal Protection System in Combined Extreme Environments

Liu

Guo

2014

Advances in Mechanical Engineering

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In order to ensure integrity of thermal protection system (TPS) structure for hypersonic vehicles exposed to severe operating environments, a study is undertaken to investigate the response and thermal-acoustic fatigue damage of a representative multilayer TPS structure under combined thermal and acoustic loads. An unsteady-state flight of a hypersonic vehicle is composed of a series of steady-state snapshots, and for each snapshot an acoustic load is imposed to a static steady-state TPS structure. A multistep thermalacoustic fatigue damage intensity analysis procedure is given and consists of a heat transfer analysis, a nonlinear thermoelastic analysis, and a random response analysis under a combined loading environment and the fatigue damage intensity has been evaluated with two fatigue analysis techniques. The effects of thermally induced deterministic stress and nondeterministic dynamic stress due to the acoustic loading have been considered in the damage intensity estimation with a maximum stress fatigue model. The results show that the given thermal-acoustic fatigue intensity estimation procedure is a viable approach for life prediction of TPS structures under a typical mission cycle with combined loadings characterized by largely different time-scales. A discussion of the effects of the thermal load, the acoustic load, and fatigue analysis methodology on the fatigue damage intensity has been provided.

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“…The static loads are mainly caused by the centrifugal and thermal forces, whereas dynamic loads are induced by fluctuating gas forces. These stresses may lead to high cycle fatigue (HCF) [1][2][3]. The mechanical integrity of the turbine can be potentially ensured by keeping vibrations at a moderate level.…”

Section: Introductionmentioning

confidence: 99%

An analytical calculation of the Jacobian matrix for 3D friction contact model applied to turbine blade shroud contact

Afzal

Arteaga

Kari

2016

Computers & Structures

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An analytical expression is formulated to compute the Jacobian matrix for 3D friction contact modelling that efficiently evaluates the matrix while computing the friction contact forces in the time domain by means of the alternate frequency time domain approach. The developed expression is successfully used for the calculation of the friction damping on a turbine blade with shroud contact interface having an arbitrary 3D relative displacement. The analytical expression drastically reduces the computation time of the Jacobian matrix with respect to the classical finite difference method, with many points at the contact interface. Therefore, it also significantly reduces the overall computation time for the solution of the equations of motion, since the formulation of the Jacobian matrix is the most time consuming step in solving the large set of nonlinear algebraic equations when a finite difference approach is employed. The equations of motion are formulated in the frequency domain using the multiharmonic balance method to accurately capture the nonlinear contact forces and displacements. Moreover, the equations of motion of the full turbine blade model are reduced to a single sector model by exploiting the concept of cyclic symmetry boundary condition for a periodic structure. Implementation of the developed scheme in solving the equations of motion is proved to be effective and significant reduction in time is achieved without loss of accuracy.

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A reduced order method for predicting high cycle fatigue of nonlinear structures

Cited by 34 publications

References 12 publications

The general procedure of numerical analysis related to a fatigue damage on the cyclically loaded construction

The general procedure of numerical analysis related to a fatigue damage on the cyclically loaded construction

Thermal-Acoustic Fatigue of a Multilayer Thermal Protection System in Combined Extreme Environments

An analytical calculation of the Jacobian matrix for 3D friction contact model applied to turbine blade shroud contact

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