On a Problem of Large-Amplitude Oscillation of a Non-linear Conservative System with Inertia and Static Non-linearity
نویسنده
چکیده
In this paper we will study the non-linear oscillation of a conservative system having inertia and static non-linearities. By combining the linearization of the governing equation with the method of harmonic balance, we investigate analytical approximate solutions for the non-linear oscillations of the system. Unlike the classical harmonic balance method, linearization is performed prior to proceeding with harmonic balancing, thus resulting in a set of linear algebraic equations instead of one of non-linear algebraic equations. Hence, we are able to establish analytical approximate formulas for the exact frequency and periodic solution. These analytical approximate formulas show excellent agreement with the exact solutions, and are valid for small as well as large amplitudes of oscillation.
منابع مشابه
An analytical coupled technique for solving nonlinear large-amplitude oscillation of a conservative system with inertia and static non-linearity.
Based on a new trial function, an analytical coupled technique (a combination of homotopy perturbation method and variational method) is presented to obtain the approximate frequencies and the corresponding periodic solutions of the free vibration of a conservative oscillator having inertia and static non-linearities. In some of the previous articles, the first and second-order approximations h...
متن کاملعملکرد لنگر تولیدی حاصل از مخزن مستغرق متحرک در کاهش دامنه پاسخ سکوی ثابت برجی
In this paper, a concept is presented for decreasing the response amplitude of fixed offshore platforms using a movable submerged tank. The idea is based on utilization of the tank’s buoyancy and inertia forces to reduce the responses of the platform. In this concept, a four-legged platform is investigated in which braces are removed in lower levels, and the movable submerged tank including sub...
متن کاملAnalysis and Design of a Simple Surge Tank (RESEARCH NOTE)
In a hydroelectric power plant or in a pumping station in order to avoid sudden large increase of pressure due to instantaneous valve closure sometimes a surge tank is installed. The height of surge tank is designed by the highest possible water level during the operation. The theoretical treatment of oscillation in a surge tank is difficult because of the non-linearity of friction term in the ...
متن کاملParticle Swarm Optimization with Smart Inertia Factor for Combined Heat and Power Economic Dispatch
In this paper particle swarm optimization with smart inertia factor (PSO-SIF) algorithm is proposed to solve combined heat and power economic dispatch (CHPED) problem. The CHPED problem is one of the most important problems in power systems and is a challenging non-convex and non-linear optimization problem. The aim of solving CHPED problem is to determine optimal heat and power of generating u...
متن کاملStudies with a Generalized Neuron Based PSS on a Multi-Machine Power System
An artificial neural network can be used as an intelligent controller to control non-linear, dynamic system through learning. It can easily accommodate non-linearities and time dependencies. Most common multi-layer feed-forward neural networks have the drawbacks of large number of neurons and hidden layers required to deal with complex problems and require large training time. To overcome these...
متن کامل