Quasi-static modal analysis for reduced order modeling of geometrically nonlinear structures
نویسندگان
چکیده
Abstract When modeling dynamic structures, the quasi-static modal analysis (QSMA) approach seeks to very accurately resolve force-displacement behavior of each individual mode but neglects coupling, while many other reduced order (ROM) methods take an opposite view, capturing static and coupling using polynomials that limit fidelity with which can be captured. This work contrasts these two approaches both theoretically by applying them geometrically nonlinear structures varying complexity. The comparison reveals a potential deficiency in QSMA secant approximation was typically used estimate effective natural frequency from load-displacement curves is found inaccurate for some strongly considered this work. Conversely, examples demonstrate low-order polynomial employed ROM such as implicit condensation expansion (ICE) often insufficient describe adequate when single used. These prompt creation new method hybrid between ICE, fits high response curve mode. Several case studies show resulting single-mode ICE ROM, here dubbed SICE-ROM, capture resonant vicinity accurately, do so relationship must captured extremely accuracy. comparisons highlight importance suggesting it far more important than even cases where latter had been previously thought important. studied include FE models flat beam exhaust cover plate highly curved Riks obtain through snap-through regime.
منابع مشابه
OPTIMUM WEIGHTED MODE COMBINATION FOR NONLINEAR STATIC ANALYSIS OF STRUCTURES
In recent years some multi-mode pushover procedures taking into account higher mode effects, have been proposed. The responses of considered modes are combined by the quadratic combination rules, while using the elastic modal combination rules in the inelastic phases is not valid. Here, an optimum weighted mode combination method for nonlinear static analysis is presented. Genetic algorithm is ...
متن کاملNonlinear normal modes for damped geometrically nonlinear systems: Application to reduced-order modelling of harmonically forced structures
In order to build efficient reduced-order models (ROMs) for geometrically nonlinear vibrations of thin structures, a normal form procedure is computed for a general class of nonlinear oscillators with quadratic and cubic nonlinearities. The linear perturbation brought by considering a modal viscous damping term is especially addressed in the formulation. A special attention is focused on how al...
متن کاملOptimal Design of Geometrically Nonlinear Structures Under a Stability Constraint
This paper suggests an optimization-based methodology for the design of minimum weight structures with kinematic nonlinear behavior. Attention is focused on three-dimensional reticulated structures idealized with beam elements under proportional static loadings. The algorithm used for optimization is based on a classical optimality criterion approach using an active-set strategy for extreme lim...
متن کاملReduced Order Modeling for the Nonlinear Geometric Response of Some Curved Structures
Abstract: The focus of this paper is on the assessment of nonlinear reduced order models (ROM) for the accurate prediction of the geometrically nonlinear response of some curved structures. Earlier difficulties in obtaining accurate reduced order models are clarified and a revised identification procedure of the ROM parameters is proposed. The validation of the methodology to a curved beam and ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Sound and Vibration
سال: 2021
ISSN: ['1095-8568', '0022-460X']
DOI: https://doi.org/10.1016/j.jsv.2021.116076