scholarly journals Frequency Equation of Flexural Vibrating Cantilever Beam Considering the Rotary Inertial Moment of an Attached Mass

2017 ◽  
Vol 2017 ◽  
pp. 1-5 ◽  
Author(s):  
Binghui Wang ◽  
Zhihua Wang ◽  
Xi Zuo
Keyword(s):  
Cantilever Beam ◽  
Shear Force ◽  
Bending Moment ◽  
Transcendental Equation ◽  
Frequency Equation ◽  
Major Goal ◽  
Attached Mass ◽  
Additional Mass ◽  
Inertial Moment ◽  
Two Parameters

The major goal of this paper is to address the derivation of the frequency equation of flexural vibrating cantilever beam considering the bending moment generated by an additional mass at the free end of beam, not just the shear force. It is a transcendental equation with two unambiguous physical meaning parameters. And the influence of the two parameters on the characteristics of frequency and shape mode was made. The results show that the inertial moment of the mass has the significant effect on the natural frequency and the shape mode. And it is more reasonable using this frequency equation to analyze vibration and measure modulus.

Imperialist Competitive Algorithm for Multiobjective Optimization of Ellipsoidal Head of Pressure Vessel

2011 ◽  
Vol 110-116 ◽  
pp. 3422-3428 ◽  
Author(s):  
Behzad Abdi ◽  
Hamid Mozafari ◽  
Ayob Amran ◽  
Roya Kohandel
Keyword(s):  
Genetic Algorithm ◽  
Pressure Vessel ◽  
Shear Force ◽  
Minimum Weight ◽  
Bending Moment ◽  
Imperialist Competitive Algorithm ◽  
Optimum Shape ◽  
Working Pressure ◽  
Competitive Algorithm ◽  
Bending Stresses

This work devoted to an ellipsoidal head of pressure vessel under internal pressure load. The analysis is aimed at finding an optimum weight of ellipsoidal head of pressure vessel due to maximum working pressure that ensures its full charge with stresses by using imperialist competitive algorithm and genetic algorithm. In head of pressure vessel the region of its joint with the cylindrical shell is loaded with shear force and bending moments. The load causes high bending stresses in the region of the joint. Therefore, imperialist competitive algorithm was used here to find the optimum shape of a head with minimum weight and maximum working pressure which the shear force and the bending moment moved toward zero. Two different size ellipsoidal head examples are selected and studied. The imperialist competitive algorithm results are compared with the genetic algorithm results.

Application of the Mode-Acceleration Technique to the Solution of the Moving Oscillator Problem

1999 ◽  
Author(s):  
Alexander V. Pesterev ◽  
Lawrence A. Bergman
Keyword(s):  
Shear Force ◽  
Series Representation ◽  
Bending Moment ◽  
Static Solution ◽  
Distributed Parameter ◽  
Distributed Parameter System ◽  
Parameter System ◽  
One Dimensional ◽  
Acceleration Technique ◽  
Moving Oscillator

Abstract The problem of calculating the dynamic response of a one-dimensional distributed parameter system excited by an oscillator traversing the system with an arbitrarily varying speed is investigated. An improved series representation for the solution is derived that takes into account the jump in the shear force at the point of the attachment of the oscillator, which makes it possible to efficiently calculate the distributed shear force and, where applicable, bending moment. The improvement is achieved through the introduction of the “quasi-static” solution, an approximation to the desired one, which makes it possible to apply to the moving oscillator problem the “mode-acceleration” technique conventionally used for acceleration of series in problems related to the steady-state vibration of distributed systems. Numerical results illustrating the efficiency of the method are presented.

scholarly journals Application of Laplace Transform to the Free Vibration of Continuous Beams

2017 ◽  
Vol 63 (1) ◽  
pp. 163-180 ◽  
Author(s):  
H.B. Wen ◽  
T. Zeng ◽  
G.Z. Hu
Keyword(s):  
Free Vibration ◽  
Laplace Transform ◽  
Reaction Force ◽  
Bending Moment ◽  
Frequency Equation ◽  
Simplified Model ◽  
Continuous Beam ◽  
Transform Method ◽  
Continuous Beams ◽  
Vibration Problems

AbstractLaplace Transform is often used in solving the free vibration problems of structural beams. In existing research, there are two types of simplified models of continuous beam placement. The first is to regard the continuous beam as a single-span beam, the middle bearing of which is replaced by the bearing reaction force; the second is to divide the continuous beam into several simply supported beams, with the bending moment of the continuous beam at the middle bearing considered as the external force. Research shows that the second simplified model is incorrect, and the frequency equation derived from the first simplified model contains multiple expressions which might not be equivalent to each other. This paper specifies the application method of Laplace Transform in solving the free vibration problems of continuous beams, having great significance in the proper use of the transform method.

The Influence of Rotatory Inertia and Transverse Shear on the Dynamic Plastic Behavior of Beams

1979 ◽  
Vol 46 (2) ◽  
pp. 303-310 ◽  
Author(s):  
Norman Jones ◽  
J. Gomes de Oliveira
Keyword(s):  
Transverse Shear ◽  
Shear Force ◽  
Yield Criterion ◽  
Yield Condition ◽  
Bending Moment ◽  
Plastic Behavior ◽  
Plastic Response ◽  
Rotatory Inertia ◽  
Perfectly Plastic ◽  
Theoretical Procedure

The theoretical procedure presented herein examines the influence of retaining the transverse shear force in the yield criterion and rotatory inertia on the dynamic plastic response of beams. Exact theoretical rigid perfectly plastic solutions are presented for a long beam impacted by a mass and a simply supported beam loaded impulsively. It transpires that rotatory inertia might play a small, but not negligible, role on the response of these beams. The results in the various figures indicate that the greatest departure from an analysis which neglects rotatory inertia but retains the influence of the bending moment and transverse shear force in the yield condition is approximately 11 percent for the particular range of parameters considered.

scholarly journals SIMULASI BEBAN LALU LINTAS JEMBATAN BENTANG 40 M DENGAN MENGGUNAKAN DATA WEIGH IN MOTION (WIM)

2020 ◽  
Vol 4 (2) ◽  
pp. 237
Author(s):  
Mahathir Mahathir ◽  
Made Suangga
Keyword(s):  
Shear Force ◽  
Bending Moment ◽  
Traffic Load ◽  
Measurement Technology ◽  
3D Analysis ◽  
Data Traffic ◽  
Load Measurement ◽  
Vehicle Load ◽  
Weigh In Motion ◽  
Actual Load

Vehicle load measurement technology continues to develop and one of them is the weigh in motion (WIM) load measurement technology. Weigh in motion (WIM) technology allow the measurement of vehicle load when vehicles moving, which is the actual load of traffic received by road and bridge. This study aims to compare the response of the bridge to the actual load of traffic from the WIM data with the standard load of SNI 1725:2016. This study using a composite steel girder bridge span 40 m, with WIM data of the Kaligawe Bridge in Semarang. Based on the characteristic of the vehicle axle load, class 40 namely the type of two-axle truck, has the largest axle load value 18 tons with an overload percentage 80%. Whereas based on the characteristic of the vehicle amount, class 30 namely the type of two-axle car, has the largest vehicle amount of 2296. The result of the 3D analysis of the bridge structure can be concluded that the WIM traffic data at Kaligawe Bridge Semarang obtained bending moment and shear force lower than the standard load of SNI 1725:2016. The ratio value of the maximum bending moment and shear force of WIM data traffic load to standard load of SNI 1725:2016 on 40 m span bridge are 0.93 and 0.96. This shows that the actual load of WIM data traffic has a load that is smaller than the standard load of SNI 1725: 2016. Keywords: bridge; design vehicle load; Monte Carlo simulation; weight in motion ABSTRAKTeknologi pengukuran beban kendaraan terus berkembang dan salah satunya adalah teknologi pengukuran beban kendaraan bergerak weigh in motion (WIM). Teknologi weigh in motion (WIM) memungkinkan pengukuran beban kendaraan dilakukan saat kendaraan melintas, yang merupakan beban aktual lalu lintas yang diterima oleh jalan dan jembatan. Penelitian ini bertujuan membandingkan respons jembatan terhadap beban aktual lalu lintas dari data WIM dengan beban rencana Standar SNI 1725:2016. Jembatan yang diteliti adalah jembatan gelagar baja komposit bentang 40 m, dengan menggunakan data WIM Jembatan Kaligawe Semarang. Berdasarkan karakteristik beban sumbu kendaraan, golongan 40 yaitu jenis kendaraan truk dua sumbu memiliki nilai beban sumbu terbesar 18 ton dengan persentase overload sebesar 80%. Sedangkan berdasarkan karakteristik jumlah kendaraan, golongan 30 yaitu jenis kendaraan mobil dua sumbu memiliki jumlah kendaraan sebesar 2296. Hasil analisis 3D struktur jembatan dapat disimpulkan bahwa beban aktual lalu lintas data WIM Jembatan Kaligawe Semarang menghasilkan momen lentur dan gaya geser yang lebih rendah dari beban standar SNI 1725:2016. Nilai rasio momen lentur dan gaya geser maksimum beban aktual lalu lintas data WIM terhadap beban standar SNI 1725:2016 pada jembatan bentang 40 m berturut-turut adalah 0.93 dan 0.96. Hal ini menunjukan bahwa beban aktual lalu lintas data WIM memiliki beban yang lebih kecil dari beban standar SNI 1725:2016.

scholarly journals Analysis & Design of Flyover by using Staad. Pro v8i

2021 ◽  
Vol 7 (03) ◽  
pp. 272-279
Keyword(s):  
Shear Force ◽  
Andhra Pradesh ◽  
Bending Moment ◽  
Nodal Displacement ◽  
Traffic Jam ◽  
Vehicle Load ◽  
National Highway ◽  
Live Loads ◽  
Analysis Design ◽  
Free Moment

As the population is growing, urbanization is caused which results in increasing of traffic with usage in more number of vehicles for different means of transport.As stated above the growth of population and the usage of vehicles for their different means will automatically result in increase in flow of vehicles which is called as traffic. To overcome the issue of traffic getting jammed (which means having obstacles for free moment or flow at a particular place), there are many different ways implemented to overcome it. When coming to Highways one of the efficient ways of overcoming it is construction of a flyover.Here in this project we are going to a design a flyover at Morampudi Junction located in Rajahmundry Andhra Pradesh along the National Highway 216A as a proposal in order to overcome the issue of traffic jam and also to reduce the rate of accidents occurring at the junction. By considering all the data collected conducting different examinations I am going to design and analyze the flyover using software STAAD.Pro V8i to study Bending Moment, Shear Force, Nodal Displacement values by considering various types of loads considered are Dead Loads, Live Loads, Wind Loads, Vehicle Load which are taken from Indian Standard Codes IS – 456, IS – 800 & IRC: 6 - 2016.

scholarly journals CALCULATION OF A JET ENGINE IN A COMPLEX PLANE USING A ONE-DIMENSIONAL SOLUTION OF THE NAVIER-STOKES EQUATION

2021 ◽  
Vol 7 (1(37)) ◽  
pp. 9-22
Author(s):  
E.G. Yakubovsky
Keyword(s):  
Speed Of Sound ◽  
Added Mass ◽  
Navier Stokes ◽  
Speed Of Light ◽  
Attached Mass ◽  
Additional Mass ◽  
Navier Stokes Equation ◽  
Dimensional Solution ◽  
Jet Engine ◽  
One Dimensional

This article proposes an algorithm to describe the motion of a body in the atmosphere using the added mass. Attached mass is the property of a medium to form additional mass, as I assume with a relativistic denominator at the speed of sound instead of the speed of light. Newton’s second law for added mass assumes two terms with the same speed, one is relativistic at the speed of light, and the other is attached mass with a relativistic denominator at the speed of sound. The use of a relativistic denominator with the speed of sound is a new idea that allows, according to well-known formulas with added mass, which is valid at low speeds of a body, to describe

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