In this paper, free vibration of the ship with Timoshenko beam model is investigated and natural frequencies and mode shapes are obtained. Since the frequency equations of Timoshenko beam are nonlinear, for obtaining the frequencies and mode shapes, numerical Method, differential quadrature Method with discretization is used. Frequencies of some vessels with different geometers such as length, height and width are obtained and versus length, height and width are compared and effect of these parameters on the frequencies are investigated. These investigations show that by increasing these parameters the frequencies are decreased and for the vessels that have a large ratio of height to length, the Timoshenko beam model should be used for vibration investigation that the shear effect is considered.

In Pakistan about 3. 7% of the population is suffering from asthma, a chronic inflammatory disorder of airways. Asthma has wide spectrum of predisposing factors including environment and genetics. Many studies have been performed to determine association of asthma with serum IgE and major histocompatibility complex (MHC) alleles but conflicting results were reported. Therefore, present study was designed to determine frequency of HLA-DQβ 1*0201 and DQβ 1*0301 alleles in patients with bronchial asthma. This case control study included 85 asthmatic patients and 85 healthy controls. HLA-DQβ 1*0201 and DQβ 1*0301 alleles were detected by allele specific PCR and serum IgE was determined by ELISA. Median and inter-quartile range (IQR) of total IgE level were more increased in asthma patients (585. 7 IU/mL and 247. 2-848. 1 IU/mL) compared to healthy controls (65. 1 IU/mL and 28. 1-181. 3 IU/mL) (p<0. 001). Frequency of HLA-DQβ 1*0201 and-DQβ 1*0301 alleles was more in healthy controls (32% and 38%, p=0. 616) as compared to bronchial asthma patients (28% and 26%, p= 0. 09). There was a significant association of IgE levels and HLA-DQβ 1*0201 allele. Patients positive for HLA-DQβ 1*0201 allele had low level of serum IgE 357. 2 IU/mL (153. 9-634. 3 IU/mL) compared to the patients negative for this HLA allele i. e. 642. 9 IU/mL (289. 8-1299. 5IU/mL) (p=0. 005), whereas, HLA-DQβ 1*0301 allele was not associated with total serum IgE level (p=0. 865). Our findings show that HLA-DQβ 1*0201 and-DQβ 1*0301 alleles were not associated with asthma; however, HLA-DQβ 1*0201 allele was associated with low levels of total serum IgE in the study population.