Pmm Journal of Applied Mathematics and Mechanics最新文献_第6页

Stability of the steady rotations of a satellite with internal damping in a central gravitational field 具有内阻尼的卫星在中心重力场中稳定旋转的稳定性

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI: 10.1016/j.jappmathmech.2017.08.002

N.I. Amelkin, V.V. Kholoshchak

引用次数: 9

On the influence of failure on the dynamics of mechanical systems 失效对机械系统动力学的影响

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI: 10.1016/j.jappmathmech.2018.03.021

A.V. Vlakhova

引用次数: 0

On the influence of failure on the dynamics of mechanical systems 失效对机械系统动力学的影响

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI: 10.1016/J.JAPPMATHMECH.2018.03.021

A. V. Vlakhova

引用次数: 0

Equilibrium of micropolar bodies with predeformed regions. The superposition of large deformations 具有预变形区域的微极体的平衡。大变形的叠加

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI: 10.1016/j.jappmathmech.2017.08.014

V.A. Levin

引用次数: 6

Energy spectrum of turbulent velocity pulsations in a wide range of wave numbers (renorm-group approach) 大波数范围内湍流速度脉动的能谱(改革群法)

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI: 10.1016/J.JAPPMATHMECH.2018.03.013

E. Teodorovich

引用次数: 2

Invariant relations and particular solutions of the dynamic equations of a rigid body 刚体动力学方程的不变量关系和特解

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI: 10.1016/j.jappmathmech.2017.12.005

G.V. Gorr

引用次数: 5

Spring analogy of non-linear oscillations of a bubble in a liquid at resonance 共振时液体中气泡非线性振荡的弹簧类比

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI: 10.1016/j.jappmathmech.2017.12.008

V.V. Vanovskii, A.G. Petrov

{"title":"Spring analogy of non-linear oscillations of a bubble in a liquid at resonance","authors":"V.V. Vanovskii, A.G. Petrov","doi":"10.1016/j.jappmathmech.2017.12.008","DOIUrl":"10.1016/j.jappmathmech.2017.12.008","url":null,"abstract":"<div>Two non-linear oscillatory systems are considered. The first is a point mass on a spring with vertical vibration of the suspension point with a frequency that coincides with the frequency of free vertical oscillations and is two times greater than the frequency of free horizontal oscillations. The friction force in the spring is taken into account. For an initial deviation of the point mass from the vertical, after a long enough time the energy of the vertical oscillations is almost completely transferred into the energy of horizontal oscillations. Using an averaging method, an asymptotic solution is constructed, describing the transient process setting up a periodic solution. Comparison of the analytical solution with the numerical one demonstrates its high accuracy. The second system is an axisymmetrical bubble in a liquid under the variable pressure. An analogy between this system and the previous one is established. Vibration of the suspension point of a spring pendulum corresponds to variable liquid pressure, and the vertical and horizontal oscillation modes of the swinging spring correspond to the radial and deformational oscillation modes of the bubble, and the ratio of the frequencies of these modes is also taken to be equal to two. The friction force in the spring corresponds to energy dissipation under radial oscillations of the bubble. In our calculations of energy dissipation, we take into account the liquid viscosity, thermal dissipation, and acoustic radiation due to liquid compressibility. During transfer of the energy of the radial oscillations, the amplitude of the resonant deformational mode of the bubble oscillations grows anomalously, which makes it possible for the bubble to break up with small energy dissipation under the action of a time-varying external pressure field.</div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"81 4","pages":"Pages 305-316"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2017.12.008","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79825895","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 2

Partial linear integrals of the Poincaré–Zhukovskii equations (the general case) poincar_3 - zhukovskii方程的偏线性积分(一般情况)

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI: 10.1016/j.jappmathmech.2017.12.004

V. Yu. Ol'shanskii

引用次数: 5

Algorithms for the orientation of a moving object with separation of the integration of fast and slow motions 基于快、慢运动分离积分的运动目标定位算法

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI: 10.1016/j.jappmathmech.2017.07.002

C.E. Perelyaev, Yu.N. Chelnokov

{"title":"Algorithms for the orientation of a moving object with separation of the integration of fast and slow motions","authors":"C.E. Perelyaev, Yu.N. Chelnokov","doi":"10.1016/j.jappmathmech.2017.07.002","DOIUrl":"10.1016/j.jappmathmech.2017.07.002","url":null,"abstract":"<div>Equations and algorithms for determining the orientation of a moving object in inertial and normal geographic coordinate systems are considered with separation of the integration of the fast and slow motions into ultrafast, fast and slow cycles. Ultrafast cycle algorithms are constructed using a Riccati-type kinematic quaternion equation and the Picard method of successive approximations, and the increments in the integrals of the projections of the absolute angular velocity vector of the object onto the coordinate axes (quasicoordinates) associated with them are used as input information. The fast cycle algorithm realizes the calculation of the classical rotation quaternion of an object on a step of the fast cycle in an inertial system of coordinates. The slow cycle algorithm is used in calculating the orientation quaternion of an object in the normal geographic coordinate system and aircraft angles. Results of modelling different versions of the fast and ultrafast cycle algorithms for calculating the inertial orientation of an object are presented and discussed. The experience of the authors in developing algorithms for determining the orientation of moving objects using a strapdown inertial navigation system is described and results obtained by them earlier in this field are developed and extended.</div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"81 1","pages":"Pages 11-20"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2017.07.002","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88832851","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 8

The angular motion of oceanic vortex formations 海洋涡旋形成的角运动

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI: 10.1016/J.JAPPMATHMECH.2018.03.007

É. K. Lavrovskii, V. Fominykh

引用次数: 0