Numerical methods are required to approximate the differential equation of a mass-spring system. The standard numerical method used in implementing mass-spring systems for use in sound synthesis is the symplectic Euler method. Implementers and users of mass-spring systems should be aware of the ...
Tags Amplitude Damped Mass-spring system System In summary, the conversation discusses finding the curve of the amplitude of oscillations for a damped spring with the given initial value problem. The general solution is a combination of a cosine and sine term, and the technique for finding the ...
A tuned mass damper (TMD) is a device consisting of small damped spring-mass system attached to a vibrating main system in order to attenuate any undesirable vibrations. In this paper, optimum parameters of TMD system attached to a viscously damped single degree-of-freedom main system are deri...
A system whose damping matrix satisfies condition [10] is said to be proportionally damped. Proportional damping was first expounded by Lord Rayleigh. It includes mass-proportional damping and stiffness-proportional damping as particular cases. The concept of proportional damping has subsequently been ...
Closed-form responses due to step forces of finite and semi-infinite damped mass–spring cascades with variable boundary mass are derived. By convolution arbitrary responses may be obtained. Eigenfrequencies, eigenmodes and critical damping of nonuniform and uniform finite cascades are found, showing ...
Increasing the mass reduces ωn, and increasing the spring constant k increases it. From a study of the damped system, the damped natural frequency ωd=ωn1−ζ2 is lower than ωn. View chapterExplore book DISPLAYS OF VIBRATION PROPERTIES M. Radeş, in Encyclopedia of Vibration, 2001 ...
A glance at Besselfunctions shows they behave similar to the damped sinusoidal function. In thispaper two physical examples (pendulum and spring-mass system with linearlyincreasing length and mass respectively) have been used as evidence for thisobse......
The method that we consider, called a mass-spring system, synthesizes sound by simulating the vibr... D Morgan,S Qiao - Hindawi Publishing Corp. 被引量: 1发表: 2009年 加载更多研究点推荐 Electrorheologically damped impact system 引用走势 1994 被引量:2 站内活动 ...
It is known from the analysis of 1-DOF spring-damper-mass system that the EOM is similar to (42); however the coefficient of the first time derivative is 2Diαi, where Di represents the Rayleigh damping. Using this relationship the Rayleigh damping can be expressed as (43) Based on th...
(the alternative exciting force, of which the magnitude is proportional to the square of its frequency, is acting on the mass of the main system), and the case III (the alternative displacement is given to the foundation of main system), It is explained how the spring constant and the ...