An exact analytical solution was presented for free vibration of composite shell structure-hermetic capsule. The basic equations on axisymmetric vibration were based on the Love classical thin shell theory and derived...An exact analytical solution was presented for free vibration of composite shell structure-hermetic capsule. The basic equations on axisymmetric vibration were based on the Love classical thin shell theory and derived for shells of revolution with arbitrary meridian shape. The conditions of the junction between the spherical and the cylindrical shell segments are given by the continuity of deformation and the equilibrium relations near the junction point. The mathematical model of problem is reduced to as an eigenvalue problem for a system of ordinary differential equations in two separate domains corresponding to the spherical and the cylindrical shell segments. By using Legendre and trigonometric functions, ex act and explicitly analytical solutions of the mode functions were constructed and the exact frequency equation were obtained. The implementation of Maple programme indicates that all calculations are simple and efficient in both the exact symbolic calculation and the numerical results of natural frequencies compare with the results using finite element methods and other numerical methods. As a benchmark, the exactly analytical solutions presented in this paper is valuable to examine the accuracy of various approximate methods.展开更多
Capsule shells have been successfully fabricated from water-soluble chitosan(WSC)with the addition of alginate and Gembili starch.WSC was synthesized from crab shell chitosan by depolymerization reaction.The capsule s...Capsule shells have been successfully fabricated from water-soluble chitosan(WSC)with the addition of alginate and Gembili starch.WSC was synthesized from crab shell chitosan by depolymerization reaction.The capsule shells were made with the composition of WSC:Alginate,2:1,3:1 and 4:1(w/w)with and without the addition of Gembili starch.Gembili starch was added with a ratio of Alginate:Starch,1:1(w/w).The capsule shell properties were evaluated according to Indonesian Pharmacopoeia standard.The solubility test showed that the capsule shells were comply with the standard.The highest degrees of swelling in water and HCl 0.1 N solution were 491.93%and 410.51%,respectively.The highest degradation percentages in water and HCl 0.1 N solution were 57.80%and 21.44%,respectively.The observation of physical appearance indicated that the capsule shell with WSC:Alginate:Starch in ratio of 3:1:1 has appearance close to commercial capsule shell.展开更多
文摘An exact analytical solution was presented for free vibration of composite shell structure-hermetic capsule. The basic equations on axisymmetric vibration were based on the Love classical thin shell theory and derived for shells of revolution with arbitrary meridian shape. The conditions of the junction between the spherical and the cylindrical shell segments are given by the continuity of deformation and the equilibrium relations near the junction point. The mathematical model of problem is reduced to as an eigenvalue problem for a system of ordinary differential equations in two separate domains corresponding to the spherical and the cylindrical shell segments. By using Legendre and trigonometric functions, ex act and explicitly analytical solutions of the mode functions were constructed and the exact frequency equation were obtained. The implementation of Maple programme indicates that all calculations are simple and efficient in both the exact symbolic calculation and the numerical results of natural frequencies compare with the results using finite element methods and other numerical methods. As a benchmark, the exactly analytical solutions presented in this paper is valuable to examine the accuracy of various approximate methods.
文摘Capsule shells have been successfully fabricated from water-soluble chitosan(WSC)with the addition of alginate and Gembili starch.WSC was synthesized from crab shell chitosan by depolymerization reaction.The capsule shells were made with the composition of WSC:Alginate,2:1,3:1 and 4:1(w/w)with and without the addition of Gembili starch.Gembili starch was added with a ratio of Alginate:Starch,1:1(w/w).The capsule shell properties were evaluated according to Indonesian Pharmacopoeia standard.The solubility test showed that the capsule shells were comply with the standard.The highest degrees of swelling in water and HCl 0.1 N solution were 491.93%and 410.51%,respectively.The highest degradation percentages in water and HCl 0.1 N solution were 57.80%and 21.44%,respectively.The observation of physical appearance indicated that the capsule shell with WSC:Alginate:Starch in ratio of 3:1:1 has appearance close to commercial capsule shell.
