Static response analysis of a dual crane system using fuzzy parameters

2021 ◽  
pp. 1-43
Author(s):  
Bin Zhou ◽  
Bin Zi ◽  
Weidong Zhu
Keyword(s):  
Perturbation Method ◽  
Equilibrium Equation ◽  
Jacobian Matrix ◽  
Virtual Work ◽  
Static Equilibrium ◽  
Function Technique ◽  
Response Analysis ◽  
Static Response ◽  
Fuzzy Parameters ◽  
Response Field

Abstract Static response analysis of a dual crane system (DCS) is conducted using fuzzy parameters. The fuzzy static equilibrium equation is established and two fuzzy perturbation methods, including the compound function/fuzzy perturbation method (CFFPM) and modified compound function/fuzzy perturbation method (MCFFPM), are presented. The CFFPM employs the level-cut technique to transform the fuzzy static equilibrium equation into several interval equations with different cut levels. The interval Jacobian matrix, the first and second interval virtual work vectors, and the inverse of interval Jacobian matrix are approximated by the first-order Taylor series and Neumann series. The fuzzy static response field for every cut level is obtained by a synthesis of the compound function technique, the interval perturbation method, and the fuzzy algorithm. In the MCFFPM, the fuzzy static response field for every cut level is derived based on the surface rail generation method, the modified Sherman–Morrison–Woodbury formula, and the fuzzy theory. Compared with the Monte Carlo method (MCM), numerical examples demonstrate that the MCFFPM has a better accuracy than the CFFPM and both of them bring a higher efficiency than the MCM, especially when it comes to uncertainty quantification of fuzzy parameters on the static response of the DCS.

Estimation of bridge static response and vehicle weights by frequency response analysis

1998 ◽  
Vol 25 (4) ◽  
pp. 631-639 ◽  
Author(s):  
G Thater ◽  
P Chang ◽  
D R Schelling ◽  
C C Fu
Keyword(s):  
Dynamic Effect ◽  
Dynamic Responses ◽  
Response Analysis ◽  
Static Response ◽  
Actual Weight ◽  
Service Testing ◽  
Weigh In Motion ◽  
Moving Vehicles ◽  
Bridge Structures ◽  
Truck Weight

A methodology is developed to more accurately estimate the static response of bridges due to moving vehicles. The method can also be used to predict dynamic responses induced by moving vehicles using weigh-in-motion (WIM) techniques. Historically, WIM is a well-developed technology used in highway research, since it has the advantage of allowing for the stealthy automatic collection of weight data for heavy trucks. However, the lack of accuracy in determining the dynamic effect in bridges has limited the potential for its use in estimating the fatigue life of bridge structures and their components. The method developed herein amends the current WIM procedures by filtering the dynamic responses accurately using the Fast Fourier Transform (FFT). Example applications of the proposed method are shown by using computer-generated data. The method is fast and improves the predicted truck weight up to 5% of the actual weight, as compared to errors up to 10% using the current WIM methods.Key words: weigh-in-motion, digital filters, FFT, bridge dynamics, in-service testing.

A Time Variational Method for the Approximate Solution of Nonlinear Systems Undergoing Multiple-Frequency Excitations

2020 ◽  
Vol 15 (3) ◽  
Author(s):  
K. Prabith ◽  
I. R. Praveen Krishna
Keyword(s):  
Variational Method ◽  
Numerical Integration ◽  
Jacobian Matrix ◽  
Mechanical Systems ◽  
Approximation Error ◽  
System Response ◽  
Response Analysis ◽  
Multiple Frequency ◽  
Nonlinear Mechanical ◽  
Nonlinear Force

Abstract The main objective of this paper is to use the time variational method (TVM) for the nonlinear response analysis of mechanical systems subjected to multiple-frequency excitations. The system response, which is composed of fractional multiples of frequencies, is expressed in terms of a fundamental frequency that is the greatest common divisor of the approximated frequency components. Unlike the multiharmonic balance method (MHBM), the formulation of the proposed method is very simple in analyzing the systems with more than two excitation frequencies. In addition, the proposed method avoids the alternate transformation between frequency and time domains during the calculation of the nonlinear force and the Jacobian matrix. In this work, the performance of the proposed method is compared with that of numerical integration and the MHBM using three nonlinear mechanical models undergoing multiple-frequency excitations. It is observed that the proposed method produces approximate results during the quasi-periodic response analysis since the formulation includes an approximation of the incommensurate frequencies to commensurate ones. However, the approximation error is very small and the method reduces a significant amount of computational efforts compared to the other methods. In addition, the TVM is a recommended option when the number of state variables involved in the nonlinear function is high as it calculates the nonlinear force vector and the Jacobian matrix directly from the displacement vector. Moreover, the proposed method is far much faster than numerical integration in capturing the steady-state, quasi-periodic responses of the nonlinear mechanical systems.

A Novel Method for Jaccobian Matrix of 6PUS Parallel Mechanism

2012 ◽  
Vol 588-589 ◽  
pp. 2162-2165
Author(s):  
Xing Qiang Tan ◽  
Zhi Jiang Xie ◽  
Guo Yun Li
Keyword(s):  
Wind Tunnel ◽  
Equilibrium Equation ◽  
Parallel Mechanism ◽  
Screw Theory ◽  
Use Of Force ◽  
Equation Of Motion ◽  
Equilibrium Analysis ◽  
Static Equilibrium ◽  
Motion Platform ◽  
Novel Method

A new kind of parallel mechanism used for faster response and higher maneuverability test of wind tunnel is introduced. Based on static equilibrium analysis and screw theory, the static equilibrium equation of motion platform is established, and then kinematic Jaccobian matrix is achieved by use of force Jaccobian matrix. By means of kinematic Jaccobian matrix the singularity of 6_PUS parallel mechanism is analyzed and three kinds of singularity and their conditions are identified.

Modal and Stability Analysis of a Micro-Beam Structure Actuated by Electrostatic Force

2006 ◽  
Vol 505-507 ◽  
pp. 403-408 ◽  
Author(s):  
Hong Hee Yoo ◽  
Kang Sik Jung ◽  
Seung Jae Moon
Keyword(s):  
Stability Analysis ◽  
Equilibrium Position ◽  
Equilibrium Equation ◽  
Electrostatic Force ◽  
Static Equilibrium ◽  
Static Deflection ◽  
Beam Structure ◽  
Design Specification ◽  
Nonlinear Equilibrium ◽  
The Stability

For the design of a vibrating micro-beam structure, modal and stability analyses of the structure actuated by electrostatic force is performed in the present study. Static deflection of the micro-beam caused by the electrostatic force is first obtained by solving the nonlinear equilibrium equation and the modal and stability characteristics are calculated at the static equilibrium position. It is found that the amplitude and the frequency of the applied electrostatic voltage influence the stability of the structure significantly. A design specification of a vibrating micro-beam structure can be effectively determined from the modal and the stability analysis results.

Virtual work, linear programming and plastic limit analysis

1959 ◽  
Vol 251 (1264) ◽  
pp. 110-116 ◽  
Keyword(s):  
Linear Programming ◽  
Open Problem ◽  
Limit Analysis ◽  
Virtual Work ◽  
Static Equilibrium ◽  
Plastic Collapse ◽  
Plastic Limit ◽  
Equilibrium Equations ◽  
Plastic Limit Analysis ◽  
Linear Programming Problems

The open problem (since 1951) of the possibility of representing the static and kinematic plastic collapse principles for frames as dual linear programming problems is hereby resolved affirmatively. In process, a new relation between compatibility equations and static equilibrium equations is developed. Corollary advantages of the results are indicated.

SENSITIVITY ANALYSIS OF COMPOSITE LAMINATED PLATES USING THE MESHLESS IN THE STATE SPACE FRAMEWORK

2013 ◽  
Vol 10 (05) ◽  
pp. 1350023 ◽  
Author(s):  
D. H. LI ◽  
G. H. QING
Keyword(s):  
Sensitivity Analysis ◽  
State Space ◽  
Governing Equation ◽  
Laminated Plates ◽  
The State ◽  
Response Analysis ◽  
Static Response ◽  
Shape Parameters ◽  
Composite Laminated Plates ◽  
Sensitivity Coefficients

A hybrid governing equation is presented by using the meshless method with radial basis functions for the response and sensitivity analysis of composite laminated plates in the state space framework. Analytical method (AM), semi-analytical (SA) and finite difference (FD) expresses of the hybrid governing equation are also derived for the sensitivity analysis. Numerical examples are consisted of the static response analysis, dynamic response analysis and their sensitivity analysis. The sensitivity coefficients of the static response and natural frequency are obtained by AM, SA and FD with respect to the material prosperities and the shape parameters of the cross-ply composite laminated plates. One of the main advantages of the hybrid governing equation in the response analysis and sensitivity analysis is that the convoluted algorithm can be avoided in sensitivity analysis, and the response quantities and the sensitivity coefficients are obtained simultaneously.

scholarly journals Nonlinear Dynamic Analysis of Lifting Mechanism of an Electric Overhead Crane during Emergency Braking

2020 ◽  
Vol 10 (23) ◽  
pp. 8334
Author(s):  
Congmin Niu ◽  
Huajiang Ouyang
Keyword(s):  
High Speed ◽  
Virtual Work ◽  
Thermal Power ◽  
Nonlinear Dynamic Analysis ◽  
Maximum Load ◽  
Rigid Bodies ◽  
Dynamic Responses ◽  
Response Analysis ◽  
Emergency Braking ◽  
Braking Process

Mechanical brakes are essential for electric cranes when emergency braking occurs. This paper presents, for the first-time, a dynamic response analysis of emergency braking events of electrical cranes that has modelled crane components as flexible and rigid bodies. Based on the Hamilton principle, a nonlinear and non-smooth dynamic model is derived from a modified Lagrangian function and the virtual work of non-conservative forces. The dynamic responses of a 32-ton overhead travelling crane during the emergency braking process of its lifting mechanism with two service brakes determined by simulating realistic operations. The numerical results show that the loads acting on components of the crane during the braking process depend on the braking capacity and the action time of the mechanical brakes, as well as the magnitude and the initial position of the payload. When a dual-brake scheme of the lifting mechanism is adopted, the maximum load of the high-speed links and the maximum thermal power of the mechanical brake appear in the emergency braking process when one of the two brakes fails to work. In addition, it is found to be a false belief that the lower the initial speed, the lower the maximum loads acting on components of cranes become during the braking process.

The Steady-State Response Analysis of Bistable Piezoelectric Converter

2015 ◽  
Vol 775 ◽  
pp. 301-306
Author(s):  
Ming Hui Yao ◽  
Yin Bo Li ◽  
Wei Zhang
Keyword(s):  
Multiple Scales ◽  
Virtual Work ◽  
Base Layer ◽  
Response Analysis ◽  
Harmonic Load ◽  
Base Excitation ◽  
State Response ◽  
Piezoelectric Beam ◽  
Averaged Equations

The aim of this study is to examine the complicated dynamics behavior of nonlinear vibrations of bistable cantilevered piezoelectric beam. The base excitation on the beam is assumed to be harmonic load. The Galerkin’s approach is adopted to disperse the energies and the virtual work. Dynamic equation of the bistable piezoelectric system is established by using Hamilton’s principle. The averaged equations in the polar form is obtained by using the method of multiple scales. Based on the actual work situation of the cantilevered piezoelectric beam, it is known that base excitation and the size parameter of the beam play the important roles in the nonlinear vibration of the cantilevered piezoelectric beam. The quality of the permanent magnet, the thickness of the base layer and the length of the beam all affect the amplitude of the beam. The thickness of the piezoelectric layer can make the frequency response curve shift in frequency domain.

Sensitivity Analysis of Static Response for Composite Laminated Plates in Hamilton System

2011 ◽  
Vol 194-196 ◽  
pp. 1396-1406 ◽  
Author(s):  
Jian Xin Xu ◽  
Ding He Li
Keyword(s):  
Sensitivity Analysis ◽  
Governing Equation ◽  
Analytical Methods ◽  
Laminated Plates ◽  
Numerical Results ◽  
Response Analysis ◽  
Static Response ◽  
Composite Laminated Plates ◽  
Sensitivity Coefficients ◽  
Hamilton System

A hybrid governing equation of the static response quantities and its sensitivity coefficients is derived for the composite laminated plates in the state space framework. Analytical and semi-analytical methods are given by using the trigonometric functions and B-spline wavelet on the interval (BSWI), respectively. Numerical results obtained by the semi-analytical methods are presented showing the effects of variation in the material properties of the plate on the displacement response quantities and their sensitivity coefficients. And the accuracy problem is also discussed by using these numerical results. Because of the use of the hybrid governing equation in the response analysis and sensitivity analysis, the convoluted algorithm is avoided in sensitivity analysis, and the response quantities and its sensitivity coefficients are obtained at the same time. The hybrid governing equation can also be easily modified to solve the sensitivity analysis problems of stiffened piezolaminated plates, or the plates and shells with piezoelectric patches or Fiber Metal Laminates.

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