The receptance-based perturbative multi-harmonic balance method for the calculation of the aperiodic steady state response of non-linear systems

1995 ◽  
Vol 181 (2) ◽  
pp. 331-339 ◽  
Author(s):  
Y. Ren
Keyword(s):  
Steady State ◽  
Linear Systems ◽  
Harmonic Balance ◽  
Harmonic Balance Method ◽  
Balance Method ◽  
Steady State Response ◽  
State Response ◽  
Non Linear ◽  
Non Linear Systems

scholarly journals On the Steady State Response of a Cantilever Beam Partially Immersed in a Fluid and Carrying an Intermediate Mass

2000 ◽  
Vol 7 (4) ◽  
pp. 179-194 ◽  
Author(s):  
A.A. Al-Qaisia ◽  
M.N. Hamdan ◽  
B.O. Al-Bedoor
Keyword(s):  
Steady State ◽  
Harmonic Balance ◽  
Equation Of Motion ◽  
Steady State Response ◽  
Intermediate Mass ◽  
Assumed Mode Method ◽  
State Response ◽  
Non Linear ◽  
Mode Method ◽  
Assumed Mode

This paper presents a study on the nonlinear steady state response of a slender beam partially immersed in a fluid and carrying an intermediate mass. The model is developed based on the large deformation theory with the constraint of inextensible beam, which is valid for most engineering structures. The Lagrangian dynamics in conjunction with the assumed mode method is utilized in deriving the non-linear unimodal temporal equation of motion. The distributed and concentrated sinusoidal loads are accounted for in a consistent manner using the assumed mode method. The non-linear equation of motion is, analytically, solved using the single term harmonic balance (SHB) and the two terms harmonic balance (2HB) methods. The stability of the system, under various loading conditions, is investigated. The results are presented, discussed and some conclusions on the partially immersed beam nonlinear dynamics are extracted.

Modeling and Analysis of Friction Rim Dampers for Blisks

2005 ◽  
Author(s):  
Denis Laxalde ◽  
Jean-Jacques Sinou ◽  
Fabrice Thouverez ◽  
Jean-Pierre Lombard
Keyword(s):  
Steady State ◽  
Harmonic Balance ◽  
Harmonic Balance Method ◽  
Design Guidelines ◽  
Lumped Parameter Model ◽  
Dynamical Analysis ◽  
Steady State Response ◽  
Modeling And Analysis ◽  
State Response ◽  
Lumped Parameter

A damping strategy for blisks of turbomachinery involving a friction rim is investigated. These rims, located in grooves underside the wheel of the blisks, are held in by centrifugal loads and the energy is dissipated when relative motions between the rim and the disk occur. A method of dynamical analysis of a cyclic blisk nonlinearly coupled with a split rim is presented: the steady-state response being calculated using an multi-harmonic balance method. Numerical simulations on a lumped-parameter model are presented for several damper characteristics and several excitation configurations. From these results, the performance of this damping strategy is discussed and some design guidelines are given. Finally the influence of mistuning on the damping performances is analysed.

Steady-state response of beams supported on non-linear springs.

AIAA Journal ◽  
1966 ◽  
Vol 4 (10) ◽  
pp. 1863-1864 ◽  
Author(s):  
A. V. SRINIVASAN
Keyword(s):  
Steady State ◽  
Steady State Response ◽  
State Response ◽  
Non Linear

Effects of Suspension Design on the Attitudes of a Car during Braking and Acceleration

1973 ◽  
Vol 187 (1) ◽  
pp. 787-794
Author(s):  
J. R. Ellis
Keyword(s):  
Steady State ◽  
Linear Systems ◽  
Degrees Of Freedom ◽  
Coupled Systems ◽  
Two Degrees Of Freedom ◽  
Simulation Techniques ◽  
Non Linear ◽  
Non Linear Systems ◽  
Effort Distribution

Two degrees of freedom models of a car are employed to demonstrate the effects of the suspension derivative ∂ x/∂ z on the pitch and bounce attitudes during braking or accelerating. The work equation is employed to show that brake effort distribution between the axles has a significant effect on the attitudes when anti-dive suspension characteristics are utilized. The steady-state positions in both pitch and bounce are developed for linear systems of typical suspensions that may be either standard or coupled systems. Non-linear systems are considered using simulation techniques. A description of some simulation circuits is contained in an appendix.

Transient Response of Inductrack Systems for Maglev Transport: Part II—Solution and Dynamic Analysis

2020 ◽  
Vol 142 (3) ◽  
Author(s):  
Ruiyang Wang ◽  
Bingen Yang
Keyword(s):  
Steady State ◽  
Dynamic Analysis ◽  
Transient Response ◽  
Numerical Procedure ◽  
Steady State Response ◽  
Governing Equations ◽  
Transient Model ◽  
State Response ◽  
Proposed Model ◽  
Non Linear

Abstract In Part I of this two-part paper, a new benchmark transient model of Inductrack systems is developed. In this Part II, the proposed model, which is governed by a set of non-linear integro-differential governing equations, is used to predict the dynamic response of Inductrack systems. In the development, a state-space representation of the non-linear governing equations is established and a numerical procedure with a specific moving circuit window for transient solutions is designed. The dynamic analysis of Inductrack systems with the proposed model has two major tasks. First, the proposed model is validated through comparison with the noted steady-state results in the literature. Second, the transient response of an Inductrack system is simulated and analyzed in several typical dynamic scenarios. The steady-state response results predicted by the new model agree with those obtained in the previous studies. On the other hand, the transient response simulation results reveal that an ideal steady-state response can hardly exist in those investigated dynamic scenarios. It is believed that the newly developed transient model provides a useful tool for dynamic analysis of Inductrack systems and for in-depth understanding of the complicated electro-magneto-mechanical interactions in this type of dynamic systems.

Sign in / Sign up

Export Citation Format

Share Document