The Stability of Solutions of Sitnikov Restricted Problem of three Bodies When the Primaries are Triaxial Rigid Bodies

The paper deals with the stability of the solutions of Sitnikov's restricted problem of three bodies if the primaries are triaxial rigid bodies. The infinitesimal mass is moving in space and is being influenced by motion of two primaries (m1>m2). They move in circular orbits without rotation around their centre of mass. Both primaries are considered as axis symmetric bodies with one of the axes as axis of symmetry whose equatorial plane coincides with motion of the plane. The synodic system of co-ordinates initially coincides with inertial system of co-ordinates. It is also supposed that initially the principal axis of the body m1 is parallel to synodic axis and are of the axes of symmetry is perpendicular to plane of motion.Journal of Institute of Science and Technology, 2014, 19(2): 76-78

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INTERNAL CONSTRAINTS AND BIFURCATIONS IN PSEUDO-RIGID BODIES

Mathematical Models and Methods in Applied Sciences ◽

10.1142/s0218202596000419 ◽

1996 ◽

Vol 06 (07) ◽

pp. 1009-1025

Author(s):

S. FORTE ◽

M. VIANELLO

Keyword(s):

Critical Points ◽

Rigid Bodies ◽

The Body ◽

Stability Of Solutions ◽

Internal Constraints ◽

Constraint Manifold ◽

Order Expansion ◽

Equilibrium Configurations ◽

Mathematical Techniques

The equilibrium problem for pseudo-rigid bodies with internal constraints and subject to small loads is discussed. No limitations are placed on the constraints, except for the definitional axiomatic assumptions. Equilibrium configurations are obtained as critical points for a potential defined on the constraint manifold, a Liapunov-Schmidt reduction is performed and a second-order expansion of the reduced potential is obtained. This result is similar to an expansion due to Pierce for unconstrained bodies, but here different mathematical techniques are required. Through a framework which is preserved from the unconstrained theory it is shown that for loads of type 0 the number and stability of solutions is not altered by the introduction of internal constraints. By contrast, differences arise when the body is subjected to loads of type 1.

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Cavity Formation during Asymmetric Water Entry of Rigid Bodies

Applied Sciences ◽

10.3390/app11052029 ◽

2021 ◽

Vol 11 (5) ◽

pp. 2029

Author(s):

Riccardo Panciroli ◽

Giangiacomo Minak

Keyword(s):

Velocity Component ◽

Water Entry ◽

Rigid Bodies ◽

Rigid Body Dynamics ◽

The Body ◽

Horizontal Velocity ◽

Cavity Formation ◽

Fluid Structure ◽

Horizontal Velocity Component ◽

The Stability

This work numerically evaluates the role of advancing velocity on the water entry of rigid wedges, highlighting its influence on the development of underpressure at the fluid–structure interface, which can eventually lead to fluid detachment or cavity formation, depending on the geometry. A coupled FEM–SPH numerical model is implemented within LS-DYNA, and three types of asymmetric impacts are treated: (I) symmetric wedges with horizontal velocity component, (II) asymmetric wedges with a pure vertical velocity component, and (III) asymmetric wedges with a horizontal velocity component. Particular attention is given to the evolution of the pressure at the fluid–structure interface and the onset of fluid detachment at the wedge tip and their effect on the rigid body dynamics. Results concerning the tilting moment generated during the water entry are presented, varying entry depth, asymmetry, and entry velocity. The presented results are important for the evaluation of the stability of the body during asymmetric slamming events.

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THE CHARACTERISTICS OF ARTIFICIAL RICE WITH SEAWEED Eucheuma cottonii ADDITION AS A DIETARY FIBER SOURCE

Jurnal Ilmu dan Teknologi Kelautan Tropis ◽

10.29244/jitkt.v6i1.8641 ◽

2014 ◽

Vol 6 (1) ◽

Cited By ~ 1

Author(s):

Natalia Prodiana Setiawati ◽

Joko Santoso ◽

Sri Purwaningsih

Keyword(s):

Blood Glucose ◽

Dietary Fiber ◽

Dietary Fibre ◽

Extrusion Process ◽

The Body ◽

Starch Digestibility ◽

Food Commodities ◽

The Stability ◽

Extrusion Technology ◽

Eucheuma Cottonii

The utilization of local food commodities such as corn and cassava with seaweed addition as a dietary fiber source for producing artificial rice through extrusion technology is an alternative for food diversification. The research was carried out to find out the best composition (rice, corn, cassava, and seaweed) and temperature of extrusion process on making artificial rice and the influence of dietary fibre on sensory properties and physicochemical. The composition of rice, corn, and cassava in proportion of 1:3:1 with 20% seaweed, Eucheuma cottonii, addition and temperature extruder of 90 °C were selected as the best product for artificial rice. The sensory evaluation was 8.02±0.21 (people’s preference). In physicochemical properties, dietary fiber significantly affected on low bulk density and starch digestibility. This condition is very good for health especially in maintaining the stability of blood glucose in the body. Keywords: artificial rice, composition, extrusion, seaweed, dietary fibre, temperature

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Substantiation the machine with a basket for the application of mineral fertilizers and other bulk materials with the upper arrangement of the feeding device

Mehanization and electrification of agricultural ◽

10.37204/0131-2189-2019-9-4 ◽

2019 ◽

pp. 37-43

Author(s):

Fesenko, H.

Keyword(s):

Fat Body ◽

Mineral Fertilizer ◽

The Body ◽

Mineral Fertilizers ◽

Analytical Mechanics ◽

Bulk Materials ◽

The Stability ◽

Working Bodies ◽

The Relationship ◽

Stable Flow

Purpose. Increasing the uniformity of distribution of mineral fertilizers and other bulk materials due to the stability of their feed from the body to the spreading working bodies using the top feeder. Methods. The following methods are used to achieve this aim: the method of comparing the differences between individual groups of fertilizers, the method of analyzing the properties of a new technical system, the method of functional inventiveness, and the methods of theoretical and analytical mechanics. Results. The traction body of the conveyor of the upper feed of the body fat body machine for mineral fertilizers and other bulk materials was substantiated and the relationship between the height of its scrapers and the distance between them was established, as well as the nature of the mineral fertilizer pressure on the curvilinear wall of the body. In addition, the design of the advanced body fertilizer spreader is justified, which ensures a stable flow of fertilizers from the body due to the improvement of the top feeder. Conclusions. Because of the conducted researches, the advantages of machines equipped with top feeder are found. They create the conditions for the forced feeding mineral fertilizers and other loose materials from the container to the distribution bodies, which is a prerequisite for their evenness on the surface. With this, the imperfection of known machines with the top feeder constrains their introduction into agricultural production. On this account, a more thoroughly constructed solution of the body feeder of the top feed is substantiated, in which the conveyor provides a stable supply of fertilizers from the body with reduced energy consumption during operation. Keywords: analysis, feed, upper device, conveyor, stability, fertilizers, flow ability, body.

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Novel Nanolipoidal Systems for the Management of Skin Cancer

Recent Patents on Drug Delivery & Formulation ◽

10.2174/1872211314666200817115700 ◽

2020 ◽

Vol 14 (2) ◽

pp. 108-125

Author(s):

Apoorva Singh ◽

Nimisha

Keyword(s):

Skin Cancer ◽

Survival Rates ◽

Cancer Therapeutics ◽

The Body ◽

Surgical Removal ◽

The Novel ◽

Skin Cancers ◽

Recent Developments ◽

Abnormal Cells ◽

The Stability

: Skin cancer, among the various kinds of cancers, is a type that emerges from skin due to the growth of abnormal cells. These cells are capable of spreading and invading the other parts of the body. The occurrence of non-melanoma and melanoma, which are the major types of skin cancers, has increased over the past decades. Exposure to ultraviolet radiations (UV) is the main associative cause of skin cancer. UV exposure can inactivate tumor suppressor genes while activating various oncogenes. The conventional techniques like surgical removal, chemotherapy and radiation therapy lack the potential for targeting cancer cells and harm the normal cells. However, the novel therapeutics show promising improvements in the effectiveness of treatment, survival rates and better quality of life for patients. Different methodologies are involved in the skin cancer therapeutics for delivering the active ingredients to the target sites. Nano carriers are very efficient as they have the ability to improve the stability of drugs and further enhance their penetration into the tumor cells. The recent developments and research in nanotechnology have entitled several targeting and therapeutic agents to be incorporated into nanoparticles for an enhancive treatment of skin cancer. To protect the research works in the field of nanolipoidal systems various patents have been introduced. Some of the patents acknowledge responsive liposomes for specific targeting, nanocarriers for the delivery or co-delivery of chemotherapeutics, nucleic acids as well as photosensitizers. Further recent patents on the novel delivery systems have also been included here.

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Implicit nonlinear fractional differential equations of variable order

Boundary Value Problems ◽

10.1186/s13661-021-01540-7 ◽

2021 ◽

Vol 2021 (1) ◽

Author(s):

Amar Benkerrouche ◽

Mohammed Said Souid ◽

Kanokwan Sitthithakerngkiet ◽

Ali Hakem

Keyword(s):

Differential Equations ◽

Boundary Value Problem ◽

Fractional Differential Equations ◽

Boundary Value ◽

Variable Order ◽

Stability Of Solutions ◽

Nonlinear Fractional Differential Equations ◽

Caputo Fractional Differential Equations ◽

Fractional Differential ◽

The Stability

AbstractIn this manuscript, we examine both the existence and the stability of solutions to the implicit boundary value problem of Caputo fractional differential equations of variable order. We construct an example to illustrate the validity of the observed results.

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Polymer-Drug Conjugates as Nanotheranostic Agents

Journal of Nanotheranostics ◽

10.3390/jnt2010005 ◽

2021 ◽

Vol 2 (1) ◽

pp. 63-81

Author(s):

Sajana Manandhar ◽

Erica Sjöholm ◽

Johan Bobacka ◽

Jessica M. Rosenholm ◽

Kuldeep K. Bansal

Keyword(s):

Drug Delivery ◽

Drug Release ◽

Treatment Options ◽

The Body ◽

Drug Conjugates ◽

Imaging Characteristics ◽

Wide Range ◽

Systemic Side Effects ◽

Theranostic Agents ◽

The Stability

Since the last decade, the polymer-drug conjugate (PDC) approach has emerged as one of the most promising drug-delivery technologies owing to several benefits like circumventing premature drug release, offering controlled and targeted drug delivery, improving the stability, safety, and kinetics of conjugated drugs, and so forth. In recent years, PDC technology has advanced with the objective to further enhance the treatment outcomes by integrating nanotechnology and multifunctional characteristics into these systems. One such development is the ability of PDCs to act as theranostic agents, permitting simultaneous diagnosis and treatment options. Theranostic nanocarriers offer the opportunity to track the distribution of PDCs within the body and help to localize the diseased site. This characteristic is of particular interest, especially among those therapeutic approaches where external stimuli are supposed to be applied for abrupt drug release at the target site for localized delivery to avoid systemic side effects (e.g., Visudyne®). Thus, with the help of this review article, we are presenting the most recent updates in the domain of PDCs as nanotheranostic agents. Different methodologies utilized to design PDCs along with imaging characteristics and their applicability in a wide range of diseases, have been summarized in this article.

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