Numerical method for analyzing steady-state oscillation in trumpets
نویسندگان
چکیده
Interactions between the airflow, elastic body of lips, and acoustic resonator instrument cause self-sustained oscillation lips when generating sound using brass instruments, steady-state can be expected to periodic. However, quasi-periodic or period doubling also occur, a cascade doublings may further introduce chaos. Therefore, given set dynamic equations representing behaviors instrument, method for detecting obtaining periodic solution by adopting shooting that relies on match initial terminal states after time corresponding has passed is presented in this paper. Experiments were performed trumpet model, where resonance frequency blowing pressure used as main control parameters. The minimum was estimated linear stability analysis. could capture changes very finely small perturbation successively applied parameters; however, it less effective load capacitive at frequency.
منابع مشابه
A Numerical Approach for Analyzing Three-Dimensional Steady-State Rolling Contact Including Creep Using a Fast Semi-Analytical Method
متن کامل
A FAST MESH-FREE GALERKIN METHOD FOR THE ANALYSIS OF STEADY-STATE HEAT TRANSFER
The element-free Galerkin method is employed for two-dimensional analysis of steady-state heat transfer. The unknown response of the system, i.e. temperature is approximated using the moving least squares technique. Numerical integration of governing simultaneous system of equations is performed by Gauss quadrature and new modified nodal integration techniques. Numerical examples and tests have...
متن کاملTwo-dimensional Steady-state Oscillation Problems of Anisotropic Elasticity
The paper deals with the two-dimensional exterior boundary value problems of the steady-state oscillation theory for anisotropic elastic bodies. By means of the limiting absorption principle the fundamental matrix of the oscillation equations is constructed and the generalized radiation conditions of Sommerfeld–Kupradze type are established. Uniqueness theorems of the basic and mixed type bound...
متن کاملPower SystemAnalysis for Nonsinusoidal Steady State Studies Based onWavelets
In this paper power system model is represented in a new domain that relates to Multi-Resolution Analysis (MRA) space. By developing mathematical model of elements in this space using Galerkin method, a new alternative method for power system simulation in nonsinusoidal and periodic conditions is developed. The mathematical formulation and characteristics of new proposed space is expressed. Als...
متن کاملLongest Path in Networks of Queues in the Steady-State
Due to the importance of longest path analysis in networks of queues, we develop an analytical method for computing the steady-state distribution function of longest path in acyclic networks of queues. We assume the network consists of a number of queuing systems and each one has either one or infinite servers. The distribution function of service time is assumed to be exponential or Erlang. Fu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Acoustical Science and Technology
سال: 2023
ISSN: ['1346-3969', '2186-859X', '0369-4232', '2432-2040', '1347-5177']
DOI: https://doi.org/10.1250/ast.44.269