scholarly journals Sistem Respon Satu Derajat Kebebasan terhadap Beban Harmonik pada Struktur Portal 2D

2019 ◽  
Vol 23 (2) ◽  
pp. 136-140
Author(s):  
Muhammad Zubair Muis Alie ◽  
Indah Melati Suci ◽  
Astika Rajmi ◽  
Andi Muhammad Alfian Arafat
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Structural Dynamics ◽  
Cyclic Load ◽  
Degree Of Freedom ◽  
Harmonic Loading ◽  
Fe Method ◽  
Mechanical Vibrations ◽  
Single Degree Of Freedom ◽  
Single Degree

Response of One Degree of Freedom System to Harmonic Loading on the structure idealized as single degree of freedom systems excited harmonically, that is structure subjected to force or displacement where the magnitude may be represented by a sine or cosine function of time. This type of excitation results one of the most important motions in the study of mechanical vibrations as well as in applications to structural dynamics. Structure is very often subjected to the dynamic action such cyclic load acting and resulting response due to the the unavoidable load eccentricity. The objective of the present study is to analyze the response of one-degree of freedom system to the portal 2D. The structure is modelled and analyzed using finite element method. The result obtained by FE method is joint displacement of the structure.

scholarly journals Extended framework of Hamilton’s principle for single-degree-of-freedom nonlinear damping systems

2020 ◽  
pp. 146134842096161
Author(s):  
Jinkyu Kim
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Nonlinear Damping ◽  
Degree Of Freedom ◽  
Hamilton’S Principle ◽  
Hamilton's Principle ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Damping Systems ◽  
Element Method

The paper explores application of the variational formalism called extended framework of Hamilton’s principle to nonlinear damping systems. Single-degree-of-freedom systems with dominant source of nonlinearity from polynomial powers of the velocity are initially considered. Appropriate variational formulation is provided, and then the corresponding weak form is discretized to produce a novel computational method. The resulting low-order temporal finite element method utilizes non-iterative algorithm, and some examples are provided to verify its performance. The present temporal finite element method using small time step is equivalent to the adaptive Runge–Kutta–Fehlberg method with default error tolerances in MATLAB, and additional simulation shows its good convergence characteristics.

The Acceleration of a Single Degree of Freedom System Through its Resonant Frequency

1958 ◽  
Vol 62 (574) ◽  
pp. 752-757 ◽  
Author(s):  
S. Hother-Lushington ◽  
D. C. Johnson
Keyword(s):  
Resonant Frequency ◽  
Critical Speed ◽  
Bessel Functions ◽  
Degree Of Freedom ◽  
Series Solutions ◽  
Mechanical Vibrations ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Method Of Solution ◽  
Simple Integration

It is Sometimes required to find the maximum amplitudes of vibration attained and the speeds at which they occur when a machine is run through its critical speed with different accelerations. The solution of this problem for single degree of freedom systems has been obtained by Lewis and by Ellington and McCallion for mechanical vibrations and by Hok for the equivalent electrical case. These solutions require higher mathematics (contour integration, Fresnel's integrals or series solutions leading to Bessel functions). The purpose of this note is to show how, by using simple integration only, an alternative method of solution can be obtained for both zero and small values of damping.

Higher Mode Frequency Effects on Resonance in Machinery Structures

2010 ◽  
Author(s):  
Robert A. Leishear
Keyword(s):  
Cyclic Load ◽  
Natural Frequencies ◽  
Degree Of Freedom ◽  
Cyclic Loads ◽  
Comprehensive Description ◽  
Single Degree Of Freedom ◽  
Frequency Effects ◽  
Single Degree ◽  
Near Resonance ◽  
Mass Damper

The complexities of resonance in multi-degree of freedom systems (multi-DOF) may be clarified using graphic presentations. Multi-DOF systems represent actual systems, such as beams or springs, where multiple, higher order, natural frequencies occur. Resonance occurs when a cyclic load is applied to a structure, and the frequency of the applied load equals one of the natural frequencies. Both equations and graphic presentations are available in the literature for single degree of freedom (SDOF) systems, which describe the response of spring-mass-damper systems to harmonically applied, or cyclic, loads. Loads may be forces, moments, or forced displacements applied to one end of a structure. Multi-DOF systems are typically described only by equations in the literature, and while equations certainly permit a case by case analysis for specific conditions, graphs provide an overall comprehension not gleaned from single equations. In fact, this collection of graphed equations provides novel results, which describe the interactions between multiple natural frequencies, as well as a comprehensive description of increased vibrations near resonance.

A Finite-Element-Based Method to Determine the Spatial Stiffness Properties of a Notch Hinge

1998 ◽  
Vol 123 (1) ◽  
pp. 141-147 ◽  
Author(s):  
Shilong Zhang ◽  
Ernest D. Fasse
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Joint Stiffness ◽  
Degree Of Freedom ◽  
Design Parameters ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Stiffness Properties ◽  
Six Degree Of Freedom ◽  
Flexural Hinges

Notch hinges are flexural hinges used to make complex, precise mechanisms. They are typically modeled as single degree-of-freedom hinges with an associated joint stiffness. This is not adequate for all purposes. This paper computes the six degree-of-freedom stiffness properties of notch hinges using finite element methods. The results are parameterized in terms of meaningful design parameters.

A Fast-Running Finite Element Based Method for Evaluating the Blast Performance of Laminated Insulated Glazing

2008 ◽  
Author(s):  
Chad McArthur ◽  
Darren Tennant ◽  
Jim Weeks
Keyword(s):  
Finite Element ◽  
Blast Loading ◽  
Degree Of Freedom ◽  
Calculation Methods ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Fast Running ◽  
Current State ◽  
State Of Practice ◽  
Blast Performance

The current state of practice in the design and assessment of Insulated Glazing Units to resist blast loading utilizes calculation methods to estimate the performance. The most prevalent methods used for calculating the window’s performance have been developed from a single degree of freedom (SDOF) approach. This paper presents an alternative, finite element based, approach to analyzing the blast performance of laminated insulated glazing units. The modeling approach is described for each of the primary components represented in the analysis and the results of an indicative model are compared against an equivalent analysis calculated using SDOF methods.

Sign in / Sign up

Export Citation Format

Share Document